feat(sidebar): the avatar opens the account menu on every page (S2)

Off / the footer was a plain link home. It is now the same Menu.Root
everywhere; off / its dialog entries link to /?account=<dialog>, which
Home opens once its account is ready and drops from the URL.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01N4f2nya58RoRu4yEmJgRGE

frontend/src/app/(app)/page.tsx

@@ -46,7 +46,7 @@ import { composerDraftSnapshot, setComposerDraft } from "@/lib/composer-draft";
 import { sessionMatchesSubject } from "@/lib/chat-profile-picker-model";
 import { bindCurrentSubjectAccount, readCurrentSubjectId, useCurrentSubjectProfile } from "@/lib/current-subject";
 import { DailyStarlanguageBinder } from "@/components/daily-starlanguage-binder";
-import { SynastryDeepLink } from "@/components/people-home-links";
+import { AccountDialogDeepLink, SynastryDeepLink } from "@/components/people-home-links";
 import { StarterEntries, StarterGreeting } from "@/components/starter-home";
 import {
   GENERAL_NO_MINUTE_DAILY_FORTUNE_QUESTION,
@@ -1163,6 +1163,7 @@ export default function Home() {
           setDailyStarlanguage={setDailyStarlanguage}
         />
         <SynastryDeepLink profile={profile} draft={synastryPanel.draftSynastryQuestionFromChart} />
+        <AccountDialogDeepLink ready={hydrated && Boolean(account)} open={openAccountDialog} />
         <span className="sr-only" role="status" aria-live="polite" aria-atomic="true">{replyAnnouncement}</span>
         {pendingSessionDeletion ? (
           <div className="account-modal-overlay session-delete-overlay" role="presentation" onMouseDown={() => setPendingSessionDeletion(null)}>