<!-- CURSOR_SUMMARY -->
> [!NOTE]
> Updates the Problems panel in real time when the local agent runs
TypeScript checks and adds E2E coverage.
> 
> - Adds `agent-tool:problems-update` IPC event,
`AgentProblemsUpdatePayload`, and `IpcClient.onAgentProblemsUpdate`
subscription
> - Extends `AgentContext` with `appId` and sends problem reports from
`run_type_checks` via `safeSend` after `generateProblemReport`
> - Renderer listens for problems updates and writes to TanStack Query
cache `['problems', appId]` to refresh the Problems panel
> - Preload whitelists the new receive channel
> - Adds local-agent E2E test, fixture, and snapshot validating Problems
panel updates (`e2e-tests/local_agent_run_type_checks.spec.ts`)
> 
> <sup>Written by [Cursor
Bugbot](https://cursor.com/dashboard?tab=bugbot) for commit
9134d5f0053079e7294da8e6665f5684a047a15a. This will update automatically
on new commits. Configure
[here](https://cursor.com/dashboard?tab=bugbot).</sup>
<!-- /CURSOR_SUMMARY -->

<!-- This is an auto-generated description by cubic. -->
## Summary by cubic
Pushes Problems panel updates when the local agent runs type checks by
emitting a problems report over IPC and updating the UI cache in real
time. Adds an E2E test to verify errors appear and the Fix button is
enabled.

- **New Features**
- run_type_checks now sends "agent-tool:problems-update" with { appId,
problems } using safeSend; AgentContext includes appId.
- IPC: added AgentProblemsUpdatePayload, whitelisted the channel in
preload, and exposed onAgentProblemsUpdate in IpcClient.
- Renderer listens for problems updates and writes to TanStack Query
cache ["problems", appId].
- E2E: local-agent test creates TS errors, runs type checks, and
snapshots Problems panel (verifies error rows and Fix button).

<sup>Written for commit 9134d5f0053079e7294da8e6665f5684a047a15a.
Summary will update on new commits.</sup>

<!-- End of auto-generated description by cubic. -->