Demo: Account Switch Doesn't Propagate

Each tab caches the current account in React state.
Switching accounts in one tab doesn't notify other tabs.

React state: loading...
Server: loading...

📬 Inbox (...)

How to trigger the bug
  1. Open this page in two browser tabs (Tab A and Tab B)
  2. Both tabs show the same account (e.g., "personal")
  3. In Tab A, click "Work" to switch accounts
  4. Tab B still shows "personal" — and the wrong inbox!
  5. Tab B is now showing personal emails while logged in as work account