fix(unified-mailbox): single-source unified counters, unified id space, background push

The unified-section sidebar badges (per-role unified folders + cross-view
All mail/Unread/Starred) failed to count down when messages were deleted/moved/
read from the unified views, and failed to count up for incoming mail - while
the underlying per-account folder counters updated correctly. Root cause: the
badges were a separate counter representation, recomputed only by a fresh server
fetch, completely decoupled from the optimistically-patched mailbox lists.

Three coordinated changes:

V1 - single source of truth: derive `unifiedCounts`/`crossUnreadCount` as a pure
live projection of `mailboxes` + `accountMailboxes` (the lists every mutation
already patches and push refreshes), over the last-known unified scope. A store
subscription re-projects whenever those lists change, so optimistic deletes and
push refreshes flow into the badges with no server round trip and no
eventual-consistency snap-back.

V3 - unified id space: searchEmails/advancedSearchEmails now namespace shared/
delegated mailboxIds (`${ownerId}:${id}`) like getEmails already did. The
cross-account views browse via advancedSearchEmails, so shared emails there
previously carried bare owner ids; now every fetch path is consistent and
emailInMailbox hits the `ids[mailbox.id]` fast path (originalId branches kept as
a defensive fallback). resolveSourceFolderName matches `m.id` first (also fixes
a latent missing source-folder name for shared emails).

Background push: bind push notifications for every connected login, not just the
active one - background accounts now drive the unified counters by rebuilding the
unified scope on their state changes. handleStateChange also refreshes the
mailbox list on a Mailbox change for ANY changed account key, so delegated
shared-folder activity arriving via the active client updates counters too.

Tests: unified-badge live projection on delete; client-level namespacing for
searchEmails/advancedSearchEmails (shared vs own account).

app/(main)/[locale]/page.tsx

@@ -1001,29 +1001,52 @@ export default function Home() {
     };
   }, [isAuthenticated, client, fetchMailboxes, fetchEmails, fetchQuota, fetchTagCounts, refreshScheduledMetadata]);
 
-  // Push notifications: set up once per client and tear down when the client
-  // goes away (logout or account switch). Kept separate from the fetch effect
-  // above so it still runs when data was prefetched at login time.
+  // Push notifications: set up once per CONNECTED client and tear down when the
+  // clients go away (logout or account switch). Kept separate from the fetch
+  // effect above so it still runs when data was prefetched at login time.
+  //
+  // We bind every connected login, not just the active one: background accounts
+  // must drive the unified-section counters too. The active client keeps the
+  // full handler (current list / scheduled / calendar / filters); background
+  // logins only re-project the unified counts by rebuilding the unified scope
+  // (which refreshes every account's cached mailbox list), since their changes
+  // never touch the active `mailboxes`. (#281 background push)
   useEffect(() => {
     if (!isAuthenticated || !client) return;
 
+    const clients = useAuthStore.getState().getAllConnectedClients();
+    const cleanups: Array<() => void> = [];
+
+    for (const [accId, c] of clients) {
       try {
-      client.onStateChange((change) => handleStateChange(change, client));
-      const pushEnabled = client.setupPushNotifications();
-      if (pushEnabled) {
-        setPushConnected(true);
-        debug.log('push', '[Push] Push notifications successfully enabled');
+        if (accId === activeAccountId) {
+          c.onStateChange((change) => handleStateChange(change, c));
         } else {
-        debug.log('push', '[Push] Push notifications not available on this server');
+          c.onStateChange(() => {
+            buildPopulatedUnifiedAccounts()
+              .then((built) => {
+                refreshCrossCounts(built);
+                refreshUnifiedCounts(built);
+              })
+              .catch(() => { /* per-account fetch failures surface elsewhere */ });
+          });
         }
+        c.setupPushNotifications();
+        cleanups.push(() => c.closePushNotifications());
       } catch (error) {
-      debug.log('push', '[Push] Failed to setup push notifications:', error);
+        debug.log('push', '[Push] Failed to setup push notifications for account:', accId, error);
+      }
+    }
+
+    if (cleanups.length > 0) {
+      setPushConnected(true);
+      debug.log('push', `[Push] Push notifications enabled for ${cleanups.length} account(s)`);
     }
 
     return () => {
-      client.closePushNotifications();
+      cleanups.forEach((fn) => fn());
     };
-  }, [isAuthenticated, client, handleStateChange, setPushConnected]);
+  }, [isAuthenticated, client, activeAccountId, connectedAccountsSignature, handleStateChange, setPushConnected, buildPopulatedUnifiedAccounts, refreshCrossCounts, refreshUnifiedCounts]);
 
   // Keep unified mailbox counts in sync when the feature is enabled and more
   // than one account is connected. Runs whenever the set of connected accounts

lib/__tests__/jmap-client-resilience.test.ts

@@ -397,4 +397,53 @@ describe('JMAPClient resilience', () => {
       ).rejects.toThrow('Failed to fetch blob: 404');
     });
   });
+
+  // #281 V3: every email fetch path must namespace mailboxIds for shared/
+  // delegated accounts (`${ownerId}:${id}`) so they line up with the store's
+  // namespaced shared-mailbox ids. searchEmails/advancedSearchEmails are the
+  // cross-view (All mail / Unread / Starred) browse paths and previously did not.
+  describe('shared-account mailboxId namespacing', () => {
+    function queryAndGet(email: Record<string, unknown>) {
+      return {
+        methodResponses: [
+          ['Email/query', { total: 1, ids: ['e1'] }, '0'],
+          ['Email/get', { list: [email] }, '1'],
+        ],
+      };
+    }
+
+    it('advancedSearchEmails namespaces bare owner mailboxIds for a foreign account', async () => {
+      const client = await createConnectedClient(); // primary acct-1
+      fetchSpy.mockResolvedValueOnce(
+        mockFetchResponse(200, queryAndGet({ id: 'e1', receivedAt: '2026-01-01T00:00:00Z', mailboxIds: { 'x-inbox': true } })),
+      );
+
+      const { emails } = await client.advancedSearchEmails({ inMailbox: 'owner-x:x-inbox' }, 'owner-x');
+
+      expect(emails[0].mailboxIds).toEqual({ 'owner-x:x-inbox': true });
+      expect(emails[0].mailboxIds['x-inbox']).toBeUndefined();
+    });
+
+    it('searchEmails namespaces bare owner mailboxIds for a foreign account', async () => {
+      const client = await createConnectedClient();
+      fetchSpy.mockResolvedValueOnce(
+        mockFetchResponse(200, queryAndGet({ id: 'e1', receivedAt: '2026-01-01T00:00:00Z', mailboxIds: { 'x-inbox': true } })),
+      );
+
+      const { emails } = await client.searchEmails('hello', undefined, 'owner-x');
+
+      expect(emails[0].mailboxIds).toEqual({ 'owner-x:x-inbox': true });
+    });
+
+    it('leaves own-account mailboxIds untouched (no foreign accountId)', async () => {
+      const client = await createConnectedClient(); // primary acct-1
+      fetchSpy.mockResolvedValueOnce(
+        mockFetchResponse(200, queryAndGet({ id: 'e1', receivedAt: '2026-01-01T00:00:00Z', mailboxIds: { inbox: true } })),
+      );
+
+      const { emails } = await client.advancedSearchEmails({ inMailbox: 'inbox' });
+
+      expect(emails[0].mailboxIds).toEqual({ inbox: true });
+    });
+  });
 });

lib/jmap/client.ts

@@ -1885,6 +1885,13 @@ export class JMAPClient implements IJMAPClient {
       const total = queryResponse?.total || 0;
       const hasMore = computeHasMore(position, emails.length, total, limit);
 
+      // Mirror getEmails: emails fetched from a delegated/shared account carry
+      // bare owner mailbox ids; namespace them to `${ownerId}:${id}` so they line
+      // up with the namespaced ids the store holds for shared mailboxes. (#281 V3)
+      if (accountId && accountId !== this.accountId) {
+        namespaceMailboxIds(emails, accountId);
+      }
+
       return { emails, hasMore, total };
     } catch (error) {
       console.error('Search failed:', error);
@@ -1925,6 +1932,13 @@ export class JMAPClient implements IJMAPClient {
       const total = queryResponse?.total || 0;
       const hasMore = computeHasMore(position, emails.length, total, limit);
 
+      // Namespace shared/delegated-account mailbox ids (see searchEmails). The
+      // cross-account views (All mail / Unread / Starred) browse via this method,
+      // so without it shared emails would carry bare owner ids there. (#281 V3)
+      if (accountId && accountId !== this.accountId) {
+        namespaceMailboxIds(emails, accountId);
+      }
+
       return { emails, hasMore, total };
     } catch (error) {
       console.error('Advanced search failed:', error);

lib/unified-mailbox.ts

@@ -61,7 +61,12 @@ const ALL_UNIFIED_ROLES: UnifiedMailboxRole[] = [
  */
 export function resolveSourceFolderName(email: Email, mailboxes: Mailbox[]): string | undefined {
   for (const m of mailboxes) {
-    if (email.mailboxIds?.[m.originalId ?? m.id]) return m.name;
+    // All fetch paths now namespace shared emails' mailboxIds to the store id
+    // (`${ownerId}:${origId}`), so matching `m.id` works for own and shared
+    // alike. The `originalId` check stays as a defensive fallback for any email
+    // that still carries a bare owner id. (#281 V3)
+    if (email.mailboxIds?.[m.id]) return m.name;
+    if (m.originalId && email.mailboxIds?.[m.originalId]) return m.name;
   }
   return undefined;
 }

stores/__tests__/email-store-unified-actions.test.ts

@@ -3,6 +3,7 @@ import { useEmailStore } from '../email-store';
 import { useAuthStore } from '../auth-store';
 import type { Email, Mailbox } from '@/lib/jmap/types';
 import type { IJMAPClient } from '@/lib/jmap/client-interface';
+import type { UnifiedAccountClient } from '@/lib/unified-mailbox';
 
 // Regression coverage for issue #281: single-email actions performed in the
 // unified inbox must be routed to the *email's own account* client, not the
@@ -98,6 +99,9 @@ describe('unified-view single-email action routing (#281)', () => {
       processingReadStatus: new Set(),
       selectedEmail: null,
       selectedEmailIds: new Set(),
+      unifiedScope: [],
+      unifiedCounts: [],
+      crossUnreadCount: 0,
       emails: [
         // Second direct login: sourceClientAccountId === sourceAccountId === 'account-b'.
         makeEmail({ id: 'email-b', accountId: 'account-b', sourceClientAccountId: 'account-b', sourceAccountId: 'account-b', keywords: {}, mailboxIds: { 'b-inbox': true } }),
@@ -216,6 +220,62 @@ describe('unified-view single-email action routing (#281)', () => {
     expect(shared.totalEmails).toBe(9);  // was 10
   });
 
+  it('decrements the unified-section badges when deleting from the unified view (live projection)', async () => {
+    // The unified-section badges (unifiedCounts / crossUnreadCount) must be a
+    // live projection of the per-account mailbox lists, NOT a stale server
+    // snapshot. Deleting a message in the unified view patches the folder's
+    // counter; the badge must follow in lockstep without a re-fetch.
+    const scope: UnifiedAccountClient[] = [
+      {
+        accountId: 'account-a', accountLabel: 'A', client: activeClient,
+        clientAccountId: 'account-a', jmapAccountId: 'account-a', isShared: false,
+        mailboxes: [makeMailbox({ id: 'a-inbox', role: 'inbox' })],
+      },
+      {
+        accountId: 'owner-x', accountLabel: 'Shared', client: activeClient,
+        clientAccountId: 'account-a', jmapAccountId: 'owner-x', isShared: true,
+        mailboxes: [makeMailbox({ id: 'owner-x:x-inbox', originalId: 'x-inbox', role: 'inbox', isShared: true, accountId: 'owner-x' })],
+      },
+    ];
+
+    useEmailStore.setState({
+      mailboxes: [
+        makeMailbox({ id: 'a-inbox', role: 'inbox', unreadEmails: 2, totalEmails: 5 }),
+        makeMailbox({
+          id: 'owner-x:x-inbox', originalId: 'x-inbox', name: 'Shared Inbox',
+          role: 'inbox', isShared: true, accountId: 'owner-x',
+          unreadEmails: 4, totalEmails: 10,
+        }),
+      ],
+      emails: [
+        makeEmail({
+          id: 'email-shared', accountId: 'owner-x',
+          sourceClientAccountId: 'account-a', sourceAccountId: 'owner-x',
+          keywords: {}, // unread
+          mailboxIds: { 'x-inbox': true }, // BARE owner id (not namespaced)
+        }),
+      ],
+      selectedEmailIds: new Set(['email-shared']),
+    });
+
+    // Seed the badges from the scope (also stores unifiedScope).
+    useEmailStore.getState().refreshUnifiedCounts(scope);
+    useEmailStore.getState().refreshCrossCounts(scope);
+
+    const before = useEmailStore.getState();
+    expect(before.unifiedCounts.find(c => c.role === 'inbox')).toMatchObject({ unreadEmails: 6, totalEmails: 15 });
+    expect(before.crossUnreadCount).toBe(6);
+
+    await useEmailStore.getState().batchDelete(activeClient, true);
+
+    const after = useEmailStore.getState();
+    // Underlying folder counter dropped...
+    expect(after.mailboxes.find(m => m.id === 'owner-x:x-inbox')!.unreadEmails).toBe(3);
+    // ...and the unified-section badges followed via the live projection.
+    expect(after.unifiedCounts.find(c => c.role === 'inbox')).toMatchObject({ unreadEmails: 5, totalEmails: 14 });
+    expect(after.crossUnreadCount).toBe(5);
+  });
+
   it('still uses the active/passed client outside unified view', async () => {
     useEmailStore.setState({
       isUnifiedView: false,

stores/email-store.ts

@@ -82,9 +82,23 @@ interface EmailStore {
   // isUnifiedView.
   crossView: CrossView | null;
   unifiedErrors: Map<string, string>; // accountId -> error message
+  // Unified-section sidebar badges. These are NOT an independent source of
+  // truth: they are a pure projection of the live per-account mailbox lists
+  // (`mailboxes` + `accountMailboxes`) over the last-known unified scope
+  // (`unifiedScope`). Recomputed automatically whenever those lists change (see
+  // the store subscription below), so optimistic delete/move/markRead patches and
+  // push-driven mailbox refreshes flow into the badges without a server round
+  // trip. (#281 follow-up: single source of truth for unified counters.)
   unifiedCounts: UnifiedMailboxCounts[];
   // Unread total across the cross-view included folders (badge for unread/all).
   crossUnreadCount: number;
+  // The account/folder structure (which accounts, role mailboxes, cross-include
+  // selection) that the unified badges are projected over. Set by
+  // refreshUnifiedCounts/refreshCrossCounts from the freshly-built
+  // UnifiedAccountClient[]. The COUNTER values it carries are ignored at
+  // projection time - live counters are read from `mailboxes`/`accountMailboxes`
+  // instead - so a stale snapshot here only affects structure, never numbers.
+  unifiedScope: UnifiedAccountClient[];
 
   // Scheduled send state
   scheduledEmails: ScheduledEmail[];
@@ -508,15 +522,14 @@ async function refreshMailboxesForViewingAccount(fallbackClient: IJMAPClient): P
 
 // Whether an email belongs to a given mailbox, for local counter math.
 // Own-account emails carry bare ids (equal to both `id` and `originalId`).
-// Shared/group emails fetched for the unified/cross views are decorated by
-// lib/unified-mailbox.ts WITHOUT namespacing their `mailboxIds`, so they carry
-// the owner's BARE JMAP ids while the shared mailbox is stored with a namespaced
-// `id` (`${ownerId}:${origId}`), `isShared: true` and `originalId`/`accountId`
-// (the owner). Matching only `mailbox.id` therefore missed every shared email,
-// so a shared folder's counter never moved when mail was deleted/moved/read from
-// the unified views. We match shared mailboxes via `originalId` too, but scope it
-// to the owning account (`sourceAccountId === mailbox.accountId`) so a bare owner
-// id can't collide with another account's folder. (#281, shared-counter fix)
+// As of #281 V3, EVERY client fetch path (getEmails/getEmail/getThreadEmails/
+// searchEmails/advancedSearchEmails) namespaces shared/delegated emails'
+// `mailboxIds` to the store id (`${ownerId}:${origId}`), so the `ids[mailbox.id]`
+// fast path below matches own and shared mailboxes alike - one id space.
+// The `originalId` branches remain as a defensive fallback for any email that
+// still carries a bare owner id (scoped to the owning account via
+// `sourceAccountId === mailbox.accountId` so a bare owner id can't collide with
+// another account's folder). (#281)
 function emailInMailbox(
   email: { mailboxIds?: Record<string, boolean>; sourceAccountId?: string },
   mailbox: Mailbox,
@@ -618,6 +631,62 @@ function applyDeleteCounters(
   };
 }
 
+// ─── Unified-badge live projection ────────────────────────────────────────────
+//
+// The unified-section badges (unifiedCounts / crossUnreadCount) are a pure
+// projection of the live per-account mailbox lists - the SAME lists the
+// optimistic delete/move/markRead paths patch and that push refreshes. Rather
+// than trusting the counter snapshot baked into the UnifiedAccountClient[] (which
+// came from a server fetch and goes stale the moment a local mutation runs), we
+// look each scope mailbox up by id in the live store list and use its current
+// counters. This keeps the badges in lockstep with the per-folder counters - one
+// source of truth, no server round trip, no eventual-consistency snap-back.
+
+// The live store list that holds a unified-scope account's folders. Mirrors
+// applyMailboxCounterUpdate's routing exactly: the active client's folders (incl.
+// its delegated shared folders) live in `mailboxes`; every other logged-in
+// account's folders live in `accountMailboxes[clientAccountId]`. Falls back to
+// the account's own (snapshot) list so an unknown account still contributes its
+// last-known counters instead of vanishing.
+function liveListForAccount(
+  account: UnifiedAccountClient,
+  state: { mailboxes: Mailbox[]; accountMailboxes: Record<string, Mailbox[]> },
+): Mailbox[] {
+  const activeId = useAuthStore.getState().activeAccountId;
+  if (account.clientAccountId === activeId) return state.mailboxes;
+  return state.accountMailboxes[account.clientAccountId] ?? account.mailboxes;
+}
+
+// Returns a shallow copy of the scope account whose mailboxes carry LIVE counter
+// values (matched by id against the live store list). Structure - which
+// mailboxes, their roles, originalId, crossIncludedMailboxIds - is preserved from
+// the scope snapshot; only the counter numbers are refreshed. This lets the
+// existing lib aggregators (fetchUnifiedMailboxCounts / getCrossUnreadTotal) run
+// unchanged over live data.
+function accountWithLiveCounters(
+  account: UnifiedAccountClient,
+  state: { mailboxes: Mailbox[]; accountMailboxes: Record<string, Mailbox[]> },
+): UnifiedAccountClient {
+  const live = liveListForAccount(account, state);
+  const byId = new Map(live.map((m) => [m.id, m]));
+  return { ...account, mailboxes: account.mailboxes.map((m) => byId.get(m.id) ?? m) };
+}
+
+// Project the live mailbox state over the current unified scope into the two
+// badge values. Pure function of (unifiedScope, mailboxes, accountMailboxes).
+function projectUnifiedCounts(
+  state: { unifiedScope: UnifiedAccountClient[]; mailboxes: Mailbox[]; accountMailboxes: Record<string, Mailbox[]> },
+): { unifiedCounts: UnifiedMailboxCounts[]; crossUnreadCount: number } {
+  if (state.unifiedScope.length === 0) {
+    return { unifiedCounts: [], crossUnreadCount: 0 };
+  }
+  const live = state.unifiedScope.map((a) => accountWithLiveCounters(a, state));
+  return {
+    unifiedCounts: fetchUnifiedMailboxCounts(live),
+    crossUnreadCount: getCrossUnreadTotal(live),
+  };
+}
+
 // Find the trash mailbox for a given account scope. Prefers JMAP role, but
 // falls back to name matching ("trash" / "deleted") so users with custom or
 // pre-existing folders (e.g. "Deleted Items") aren't silently destroyed.
@@ -685,6 +754,7 @@ export const useEmailStore = create<EmailStore>((set, get) => ({
   unifiedErrors: new Map(),
   unifiedCounts: [],
   crossUnreadCount: 0,
+  unifiedScope: [],
 
   // Scheduled send state
   scheduledEmails: [],
@@ -2522,30 +2592,37 @@ export const useEmailStore = create<EmailStore>((set, get) => ({
       // Get the current account ID from the client (assuming primary account)
       const accountId = client.getAccountId();
 
-      // Check if there are changes for this account
+      // Changes may arrive for the client's primary account OR a delegated
+      // shared/group owner it has access to. Active-account *view* concerns
+      // (current email list, scheduled, calendar, filters) key off the primary
+      // account only, but the mailbox-COUNT refresh must react to any changed
+      // account: the active client's getAllMailboxes returns own + delegated
+      // folders, and the unified-section counts project from that list. (#281)
       const accountChanges = change.changed[accountId];
-      if (!accountChanges) return;
+      const anyMailboxChanged = Object.values(change.changed).some((c) => c?.Mailbox);
 
       // Handle Email state changes - refresh current mailbox
-      if (accountChanges.Email) {
+      if (accountChanges?.Email) {
         await get().refreshCurrentMailbox(client);
         get().fetchTagCounts(client);
       }
 
-      if (accountChanges.EmailSubmission) {
+      if (accountChanges?.EmailSubmission) {
         await get().refreshScheduledMetadata(client);
         if (get().isScheduledView) {
           await get().fetchScheduledEmails(client);
         }
       }
 
-      // Handle Mailbox state changes - refresh mailbox list
-      if (accountChanges.Mailbox) {
+      // Handle Mailbox state changes - refresh mailbox list (own + delegated
+      // shared folders), so both the active account's and its shared folders'
+      // counters follow background activity.
+      if (anyMailboxChanged) {
         await get().fetchMailboxes(client);
       }
 
       // Handle Calendar/CalendarEvent state changes - refresh calendar data
-      if (accountChanges.Calendar || accountChanges.CalendarEvent) {
+      if (accountChanges?.Calendar || accountChanges?.CalendarEvent) {
         const calendarStore = useCalendarStore.getState();
         if (calendarStore.supportsCalendar) {
           calendarStore.fetchCalendars(client);
@@ -2563,7 +2640,7 @@ export const useEmailStore = create<EmailStore>((set, get) => ({
       }
 
       // Handle SieveScript state changes - refresh filter rules
-      if (accountChanges.SieveScript) {
+      if (accountChanges?.SieveScript) {
         const { useFilterStore } = await import('./filter-store');
         const filterStore = useFilterStore.getState();
         if (filterStore.isSupported) {
@@ -3183,8 +3260,13 @@ export const useEmailStore = create<EmailStore>((set, get) => ({
 
   refreshUnifiedCounts: async (accounts) => {
     try {
-      const counts = fetchUnifiedMailboxCounts(accounts);
-      set({ unifiedCounts: counts });
+      // Store the scope and project live counters over it. The badges then track
+      // the live mailbox lists via the store subscription (below), so subsequent
+      // optimistic mutations update them without another build/fetch.
+      set((state) => {
+        const next = { ...state, unifiedScope: accounts };
+        return { unifiedScope: accounts, ...projectUnifiedCounts(next) };
+      });
     } catch (error) {
       console.error('Failed to refresh unified counts:', error);
     }
@@ -3223,7 +3305,10 @@ export const useEmailStore = create<EmailStore>((set, get) => ({
 
   refreshCrossCounts: (accounts) => {
     try {
-      set({ crossUnreadCount: getCrossUnreadTotal(accounts) });
+      set((state) => {
+        const next = { ...state, unifiedScope: accounts };
+        return { unifiedScope: accounts, ...projectUnifiedCounts(next) };
+      });
     } catch (error) {
       console.error('Failed to refresh cross-account counts:', error);
     }
@@ -3623,3 +3708,31 @@ export const useEmailStore = create<EmailStore>((set, get) => ({
     });
   },
 }));
+
+// Keep the unified-section badges in lockstep with the live per-account mailbox
+// lists. Whenever `mailboxes`, `accountMailboxes`, or the unified scope change -
+// i.e. after any optimistic delete/move/markRead patch or a push-driven mailbox
+// refresh - re-project the badges from that single source of truth. The guard
+// short-circuits on every unrelated state change (emails, loading flags, …) by
+// reference equality, and our own counter writes don't re-enter the projection
+// because they leave the three watched lists untouched (no loop). (#281)
+useEmailStore.subscribe((state, prev) => {
+  if (
+    state.mailboxes === prev.mailboxes &&
+    state.accountMailboxes === prev.accountMailboxes &&
+    state.unifiedScope === prev.unifiedScope
+  ) {
+    return;
+  }
+  if (state.unifiedScope.length === 0) return;
+  const projected = projectUnifiedCounts(state);
+  const sameCross = projected.crossUnreadCount === state.crossUnreadCount;
+  const sameUnified =
+    projected.unifiedCounts.length === state.unifiedCounts.length &&
+    projected.unifiedCounts.every((c, i) => {
+      const cur = state.unifiedCounts[i];
+      return cur && cur.role === c.role && cur.unreadEmails === c.unreadEmails && cur.totalEmails === c.totalEmails;
+    });
+  if (sameCross && sameUnified) return;
+  useEmailStore.setState(projected);
+});