deps(runner): bump claude-agent-sdk 0.2.101 (#1681)

## SDK Version Bump

- `claude-agent-sdk`: 0.2.99 -> 0.2.101

### TL;DR

- 0 new feature(s), 1 bug fix(es)

<details><summary><strong>Bug Fixes</strong> (1)</summary>

- **Typed `task_updated` lifecycle events** (`claude-agent-sdk`
0.2.101): Exposed terminal `system/task_updated` events as typed
`TaskUpdatedMessage` with `task_id`, `patch`, `status`, `sessi...

</details>

<details><summary><strong>Bundled Claude CLI Versions</strong>
(2)</summary>

| SDK Version | CLI Version |
|-------------|-------------|
| 0.2.101 | 2.1.177 |
| 0.2.100 | 2.1.176 |

</details>

<details><summary>Internal changes: <code>claude-agent-sdk</code>
(2)</summary>

- Updated bundled Claude CLI to version 2.1.177 (0.2.101)
- Updated bundled Claude CLI to version 2.1.176 (0.2.100)

</details>

---
_Automated by `.github/workflows/sdk-version-bump.yml`_

Co-authored-by: github-actions[bot] <github-actions[bot]@users.noreply.github.com>
Co-authored-by: mergify[bot] <37929162+mergify[bot]@users.noreply.github.com>

Author: github-actions[bot]

components/runners/ambient-runner/pyproject.toml

@@ -24,7 +24,7 @@ dependencies = [
 [project.optional-dependencies]
 claude = [
   "anthropic[vertex]>=0.109.1",
-  "claude-agent-sdk>=0.2.99",
+  "claude-agent-sdk>=0.2.101",
 ]
 observability = [
   "langfuse>=3.14.5",