Claude Cloud

So let's write a hypothetical product idea for Claude code which is essentially Claude code hosted on a server using Git to version code, Vercel to build dynamic staging branches to text then deploy and basically working from the phone just using a simple app that lets me voice prompts changes. I want to do Claude code works on them build up a staging site. Show me the results I give it feedback and deploys when ready.
This does not require me to keep a machine in my office running all the time, which I wouldn't have to open up to the port and secure connection to, instead I use the cloud to make that service available on demand and I can work on the go essentially brainstorming product ideas into my remote Claude Code instance and seeing results a few minutes later after it has processed, validated and deployed.