<summary>Which integrations the account has connected, keyed by the same integration_id you pass
to get_tool_connect_url (gmail, outlook, linkedin, slack, googlesheets, salesforce, notion,
...). Call this before telling a user an integration is unavailable, or before minting a
connect link for one they say is already connected — it may already be active.</summary>
<returns>
<description>A dict mapping each integration_id to its connection status; read one with
result[integration_id]['connected']. Some entries carry extra detail — linkedin,
google_calendar, and fathom include needs_reconnect (connected, but the auth broke and
the user must re-link); email and linkedin include the connected account email. A
missing key means that integration wasn't checked, not that it's disconnected.
The slack entry carries two independent flags: 'connected' is the workspace bot link
that delivers Sliq's notifications, and 'slack_mcp_connected' gates only your Slack
MCP tools in chat — judge notification delivery by 'connected' alone.</description>
</returns>