[Refactor] Remove obsolete cloud account lifecycle listeners

[zoomote]

​Created by Roomote. Follow up by mentioning @roomote, in the web UI, or in Discord.

What changed

• Expanded the type-aware @typescript-eslint/no-floating-promises ratchet to extension.ts.
• Removed obsolete auth-state-changed and user-info listener registration, state refresh, and cleanup left behind after interactive cloud accounts were removed.
• Retained settings-updated for live organization-policy refreshes as contained fire-and-forget work with failure logging.
• Kept model-cache initialization non-blocking with explicit failure ownership, removed the now-unused no-explicit-any suppression, and updated focused tests.

Why this change was made

The interactive cloud-account UI was already removed, and initial compatibility/static-token state is read after CloudService initialization. The auth and user-info listeners no longer provided required behavior, while the organization-settings listener remains live for policy changes.

Impact

Extension activation has fewer obsolete account lifecycle hooks. Organization policy changes still refresh visible state, model-cache startup still does not block activation, and future floating promises in extension.ts fail lint.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.

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[zoomote]

Removed the obsolete auth-state and user-info extension listeners and their cleanup/test scaffolding. The live organization-settings listener remains as contained fire-and-forget work with failure logging; model-cache startup remains non-blocking. The stale no-explicit-any suppression was also removed.

Full lint, type-check, and test suites pass. Pushed in commit c86ffac0c.