Github MCP app forgets state across session open

From https://github.com/microsoft/vscode/issues/327808

3. Start a session which ends up using the Github mcp app for creating the PR
4. Press Create pull request
5. MCP collapses into a reference to the PR
6. open a different session
7. go back to the initial session
8. 🐛 MCP app shows create pull request form again

The issue names no files, tests, or entry points. Start by reproducing the listed session steps in the GitHub MCP app, then trace how the initial session is restored after opening another session. Done means the completed pull-request reference remains visible instead of showing the create pull request form again.

Written by the indexing model from the issue text.