Sync conversation history per repository, across machines

I work on one project from three computers — home and two offices — with the same git repo cloned on each.

Every time I switch machines, Claude starts blank: it knows nothing about what we discussed or decided on the other computer. My workaround is a decisions file committed to the repo, and starting every session with "read the devlog."

Remote Control isn't the answer — that controls one specific machine from another device. Cloud sessions aren't either — they can't reach my local database and local toolchain.

What I'd like: conversation history tied to the repository (by git remote URL) and synced through my account. Sit down at any of my machines, and the project conversation is already there.