There's no reason why Claude can't use git to manage the folders that it controls.

Most of these files are binary and are not a good fit for git’s graph based diff tracker…you’re basically ending up with a new full sized binary for every file version. It works from a version perspective, but is very inefficient and not what git was built for.

Git isn't good with big files.

I wanted to comment more, but this new tool is Mac only for now, so there isn't much of a point.