[docs-patrol] Update docs for Log Searching Agent behavior and workflow catalog

Recent code changes in the repository have introduced documentation drift. The following changes need corresponding documentation updates.

## Changes Requiring Documentation Updates

### 1. Log Searching Agent README incorrectly states old issues are auto-closed

**Commit(s):**
- [06c4ed7](https://github.com/elastic/ai-github-actions/commit/06c4ed72f3e581046c97b7d4d322d70f9d4ff994)

**What changed:**
- The workflow source explicitly disables auto-closing older issues for `create-issue` safe output:
- `.github/workflows/gh-aw-log-searching-agent.md:94-98` (`close-older-issues: false`).
- The workflow README currently documents the opposite behavior:
- `gh-agent-workflows/log-searching-agent/README.md:41` says `create-issue` “auto-closes older reports”.

**Documentation impact:**
- `gh-agent-workflows/log-searching-agent/README.md` should be updated so the Safe Outputs section matches actual behavior (`close-older-issues: false`).

### 2. Central workflow catalog omits the newly added Log Searching Agent

**Commit(s):**
- [06c4ed7](https://github.com/elastic/ai-github-actions/commit/06c4ed72f3e581046c97b7d4d322d70f9d4ff994)
- [622701b](https://github.com/elastic/ai-github-actions/commit/622701b0d8987db8965be34a8df7f776444abf68)

**What changed:**
- A new public workflow and docs were added:
- `.github/workflows/gh-aw-log-searching-agent.md`
- `gh-agent-workflows/log-searching-agent/README.md`
- `gh-agent-workflows/log-searching-agent/example.yml`
- The central “Available workflows” page does not list this workflow:
- `docs/workflows/gh-agent-workflows.md:51-64` (Event-driven workflows table has no Log Searching Agent entry).

**Documentation impact:**
- `docs/workflows/gh-agent-workflows.md` should add a row for Log Searching Agent so the workflow catalog reflects currently available workflows.

## Suggested Actions

- [ ] Update `gh-agent-workflows/log-searching-agent/README.md` Safe Outputs text to reflect `close-older-issues: false`.
- [ ] Add Log Searching Agent to the Event-driven workflows table in `docs/workflows/gh-agent-workflows.md` with trigger and purpose.

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Read .github/workflows/gh-aw-log-searching-agent.md and gh-agent-workflows/log-searching-agent/README.md to confirm the safe-output behavior, then inspect docs/workflows/gh-agent-workflows.md for the event-driven workflow table. Done means the README no longer claims older reports are auto-closed and the catalog includes the Log Searching Agent with its trigger and purpose.

Written by the indexing model from the issue text.