Desktop app: selected local project/repo doesn't reset when switching accounts in the same window

Claude Desktop app. When a local project/repo is manually selected in the project picker (bottom bar), that selection persists across account logout/login within the same app window — even when switching to a completely different Claude.ai account.

Repro:

1. Log into Account A, manually select local repo X in the project picker.
2. Log out, log into Account B (different Claude.ai account, different org).
3. Repo X is still shown as the active/selected project — expected: picker should reset or prompt for a project scoped to Account B.
4. Confirmed not a stale in-memory/session issue: fully quitting and relaunching the app does not clear it — the stuck selection survives a full process restart, so it must be persisted to disk (Local Storage/IndexedDB or config.json), not held in renderer memory.

What I found while investigating (may help triage):

• ~/Library/Application Support/Claude/claude-code-sessions/<accountUuid>/<orgUuid>/local_*.json correctly scopes individual session records per account — each has its own correct cwd.
• ~/Library/Application Support/Claude/config.json holds a single shared oauth:tokenCache/tokenCacheV2 and one lastKnownAccountUuid for the whole app instance, suggesting the picker's "currently selected project" is tracked as app-wide UI state rather than per-account — likely in Local Storage/IndexedDB, not a plain config file.

Impact:
Confusing/risky when working across a work org account and a personal account in the same window — easy to end up committing or running actions against the wrong repo while believing you're scoped to the other account.