Guidance for using Claude with ChatGPT

Hello, I'm a SQL Developer and I have an C# / .NET 10 / Blazor web app idea I'd like to build with the help of Claude and ChatGPT. My theory is that since Claude seems to be favoured as the superior code AI and ChatGPT tends to be viewed better at overall tasks as well as having a better usage window in my experience so far that I'd use ChatGPT as the Project Manager, ticket writer, acceptance criteria author, tester and red-team reviewer of architecture and decisions. I'd use Claude as the main code reviewer focusing on actual implementation, diff quality, correctness, mainainability and defects. Because I'm wanting to learn c# - the plan is that ChatGPT creates a ticket with a Microsoft guide, youtube video or something similar I can use as reference to learn from. I'd then do the work and submit the PR for Claude to review. The system would work as: Backlog > Ready > In Progress > Claude Review > Red Team > QA > Done I then take Claude's review, I get an evaluation of the finding by ChatGPT (asking for references for all approaches to best practice articles etc) then decide the "winner" and any changes tot he ticket that need to be done. My questions are: Is this a valid approach? What would the community change given their experiences with the tools? Is there a free app/plugin/tool I can use so that I can have 1 window for both ChatGPT and Claude that's secure and safe to use so I don't have to copy/paste messages between the two systems constantly. Anything else I should be aware of, I've been a SQL dev for a long time but this is my first time trying to be a real dev. Is this a completely dumb idea?