feat(webapp): enforce watch plan limits

[kathiekiwi]

What & why. Watches now honour a plan's watch limits. A watch whose window exceeds the plan's agentWatchMaxHours, or that would push the org past its agentWatchers count, is refused with a new watch_limit_reached result and an upgrade hint (a chat line on the card, HTTP 409 on the API).

Key decisions.

• Plan limits are a floor below the existing code ceilings: min(plan, WATCH_MAX_HOURS=24) for the window, and the per-chat cap of 3 still applies independently. Plans only tighten, never loosen.
• Watcher count is org-wide and checked only after the immediate check declines, so a one-shot consumes no slot.
• Fails open: an absent limit resolves to the unlimited sentinel, so self-hosted is unaffected; the upgrade nudge is gated on isBillingConfigured().
• Follow-up: quiet Pro-mark on the card's long-window options.

TRI-12863

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Walkthrough

The pull request adds plan-based limits for dashboard agent watches. It limits watch duration and organization-wide active watches, adds billing-aware refusal messages, and maps limit refusals to HTTP 409. It also adds sweep-attempt persistence for stale investigations. Failed settlements are retried up to five times before force abandonment as inconclusive. Integration tests cover both watch-limit enforcement and poison-investigation handling.

🚥 Pre-merge checks | ✅ 3 | ❌ 2

❌ Failed checks (2 warnings)

Check name	Status	Explanation	Resolution
Description check	⚠️ Warning	The description explains the change and key decisions but omits the required checklist, testing, changelog, and screenshots sections.	Add the template sections, complete the checklist, document test steps, provide a changelog entry, and state whether screenshots are applicable.
Docstring Coverage	⚠️ Warning	Docstring coverage is 27.27% which is insufficient. The required threshold is 80.00%.	Write docstrings for the functions missing them to satisfy the coverage threshold.

✅ Passed checks (3 passed)

Check name	Status	Explanation
Title check	✅ Passed	The title clearly and concisely describes the main change: enforcing watch plan limits.
Linked Issues check	✅ Passed	Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check	✅ Passed	Check skipped because no linked issues were found for this pull request.

✨ Finishing Touches 💡 2

📝 Generate docstrings 💡

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🛠️ Fix failing CI checks 💡

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🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch feat/agent-watch-limits-tri-12863

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