[OddMerlin]

Why not use Claude App in GitHub (if your code is in GitHub)?

I kick off a prompt as a GitHub issue, Claude fires away on this issue, provides updates as comments and a PR is created for me at the end for review.

It also notifies me throughout, and I can look at the pipelines to see the thinking behind the action.

[geekrax]

Or even Claude's native iOS app can achieve what the OP desires. It shows the full interactive transcript as it goes.

I use Remote Desktop to connect to my mac from iPhone because I also want to test local front-end changes remotely.