[Feature]: GitButler support

[bzbetty]

Before submitting

• I searched existing issues and did not find a duplicate.
• I am describing a concrete problem or use case, not just a vague idea.

Area

apps/server

Problem or use case

There's been a PR/advert for Jujustu (coming soon) for ages (assuming not high priority). Once extra source controls are supported it'd be nice to get Gitbutler in there too. Seems it has an SDK https://github.com/gitbutlerapp/gitbutler/tree/master/packages/but-sdk.

Proposed solution

MVP - replace the source control dropdown to run but instead of git (it does push/branch/pr etc - although i'd typically use gh cli to pr instead).

A deeper integration would show the status, current branches and offer things like rub/land etc.

Why this matters

Why butler over jj? the mental model is easier (at least for me) and works great with multiple agents.

Smallest useful scope

MVP - replace the source control dropdown to run but instead of git (it does push/branch/pr etc - although i'd typically use gh cli to pr instead).

Alternatives considered

Using the console window at the bottom - although annoying that it's per chat (a pinned terminal would be a good compromise)

Risks or tradeoffs

No response

Examples or references

No response

Contribution

• I would be open to helping implement this.