Yes it will, I wrote a quick script for local deployment (and then had claude improve it) and then quickly write documentation (and have claude improve it) on how to deploy & gather logs. It will do those things and follow the logs while I'm clicking around in the app. When starting a new session it will read the docs and know how to deploy and check logs. If something failed in the docker build that script output is read by claude since it ran it.
haven't tried PR stuff yet though