[FEATURE] Support VSCode Timeline integration for tracking Claude Code file changes

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

When Claude Code edits files from the terminal, VSCode doesn't detect these changes. The Timeline panel stays empty, making it impossible to visually diff or review what Claude modified. This is a common pain point — users have no easy way to audit Claude's code changes within the IDE.

Related closed issues: #9175, #7889

Proposed Solution

The VSCode extension should automatically record file changes made by Claude Code into the Timeline panel, so users can:

See a chronological list of every file Claude modified
Click any entry to view a visual Diff of before/after changes
Review and audit Claude's edits without leaving the IDE

Alternative Solutions

I built a community extension as a workaround: Claude File Timeline

It runs a local HTTP server inside VSCode. After Claude Code finishes editing, it syncs the changes to the Timeline panel with full Diff support. Configuration is done via CLAUDE.md. It works, but an official built-in solution would be more seamless.

Priority

Low - Nice to have

Feature Category

Other

Use Case Example

I'm working on a project and ask Claude Code to refactor several files
Claude edits 5 files from the terminal
I want to review what exactly changed before committing
Currently, VSCode Timeline is empty — I have to use git diff in the terminal
With this feature, I could click each file in Timeline and visually diff every change Claude made, just like reviewing local edits

Additional Context

Community workaround: https://github.com/zhengtong0898/vscode-claude-file-timeline