* Fix rooms v3 url paths for good - with tests
- Add a test rig around `federationapi` to test routing.
- Use `JSONVerifier` over `KeyRing` so we can stub things out more easily.
- Add `test.NopJSONVerifier` which verifies nothing.
- Add `base.BaseMux` which is the original `mux.Router` used to spawn public/internal routers.
- Listen on `base.BaseMux` and not the default serve mux as it cleans paths which we don't want.
- Factor out `ListenAndServe` to `test.ListenAndServe` and add flag for listening on TLS.
* Fix comments
* Linting
* Remove clientapi producers which aren't actually producers
They are actually just convenience wrappers around the internal APIs
for roomserver/eduserver. Move their logic to their respective `api`
packages and call them directly.
* Remove TODO
* unbreak ygg
