Change GitHub Repository for Amplify Project Without Creating a New App

### Environment information

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Im using Amplify gen2 to backend and hosting and webapp in Flutter
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### Description

Hi!
I need to change the GitHub repository my Amplify project uses because I am moving it from my personal profile to my organization’s profile. I have not found a way to do this without creating a new app.

Is there a way to change the linked GitHub repository for an existing Amplify project without starting a new app from scratch?

No files, tests, or entry points are mentioned. Start by reviewing how an existing Amplify Gen 2 app stores its hosting and GitHub connection, then check the documented repository-linking flow for moving from a personal profile to an organization. Done should be a supported migration path or a clear statement that a new app is required.

Written by the indexing model from the issue text.