Typescript: Allow extending socket's incoming request separately from Express

PR here https://github.com/socketio/socket.io/pull/4787

Is your feature request related to a problem? Please describe.
Use own interface for Socket request to allow extending the request interface with custom properties without polluting the IncomingMessage type which is also used by Express/Passport.

Using socket.io with passport middlewares causes issues when using the same 'userProperty' key is used for both - for example by extending IncomingMessage { user: Express.User } we break passport's isAuthenticated() function, because now typescript thinks that the request is always of the type AuthenticatedRequest as IncomingMessage always has a user property on itself. To fix this, I believe we should be able to extend only the request type inside socket.io -> SocketRequest.

Describe the solution you'd like
Use own interface for Socket request to allow extending the request interface independently of Express.

Describe alternatives you've considered
I haven't found any reasonable workarounds.

Additional context
See https://github.com/socketio/socket.io/pull/4787

Start by reading pull request #4787 and the issue’s TypeScript request-type discussion. Confirm how Socket.IO request typing currently interacts with Express and Passport, then verify that the requested separation allows Socket.IO request properties to be extended without changing IncomingMessage behavior.