[BUG] Workspace trust not persisted across sessions (Code tab, macOS 15.5)

### Preflight Checklist

- [x] I have searched [existing issues](https://github.com/anthropics/claude-code/issues?q=is%3Aissue%20state%3Aopen%20label%3Abug) and this hasn't been reported yet
- [x] This is a single bug report (please file separate reports for different bugs)
- [x] I am using the latest version of Claude Code

### What's Wrong?

I'm seeing the same behavior on macOS.

**Environment**
- Claude desktop app (Code tab)
- Claude Code versions installed: 2.1.258, 2.1.260
- macOS 15.5 (24F74)

**Steps to reproduce**
1. Open a project folder in the Code tab (e.g. /Users/.../**)
2. Workspace trust dialog appears, listing .claude/settings.json and .claude/settings.local.json as "allowed to execute"
3. Click "Trust workspace" (작업 공간 신뢰)
4. Trust dialog reappears on the next session / next time the workspace is opened — the decision is not persisted

**What I've already ruled out**
- File/folder permissions: ~/Library/Application Support/Claude and the project's .claude/ folder are correctly owned by my user, not root
- Corrupted local state: deleted and let the app regenerate
~/Library/Application Support/Claude/IndexedDB/https_claude.ai_0.indexeddb.leveldb
(this is where the claude.ai origin, which the Code tab's webview runs on, stores "trust" strings) — problem persists after regeneration

**Additional issue**
After repeatedly triggering this dialog / switching to the Code tab, the desktop app has become noticeably slower overall.

**Workaround in use**
Using the Claude Code CLI (`claude` in terminal) instead of the desktop app's Code tab — trust persists correctly there.

Happy to provide more logs/diagnostics if useful.

### What Should Happen?

After clicking "Trust workspace" once, the decision should be persisted, and the dialog should not reappear when reopening the same workspace in a later session.

### Error Messages/Logs

```shell
No error message shown — the dialog simply reappears silently.
```

### Steps to Reproduce

1. Open Claude desktop app, go to Code tab
2. Select a project folder containing .claude/settings.json and .claude/settings.local.json (e.g. /Users/.../**)
3. Workspace trust dialog appears — click "Trust workspace" (작업 공간 신뢰)
4. Close the app completely (Cmd+Q) and reopen it
5. Reopen the same workspace in the Code tab
6. Trust dialog appears again, as if it was never accepted

Additional observation: after repeating this a few times, the desktop app became noticeably slower overall.

### Claude Model

Sonnet (default)

### Is this a regression?

Yes, this worked in a previous version

### Last Working Version

_No response_

### Claude Code Version

2.1.263

### Platform

Anthropic API

### Operating System

macOS

### Terminal/Shell

Terminal.app (macOS)

### Additional Information

_No response_

Reproduce on macOS 15.5 with the Claude desktop app Code tab by trusting a project containing .claude/settings.json and .claude/settings.local.json, then quitting and reopening. The report points to the claude.ai webview IndexedDB under ~/Library/Application Support/Claude as relevant state to inspect. Done means the same workspace stays trusted across sessions and the dialog no longer reappears.

Written by the indexing model from the issue text.