Handlers are now specified before connecting the client/server. Otherwise, race conditions exist. Handlers move into being a part of the McpClientOptions/McpServerOptions, so that they're provided to the factories. Where relevant, the handlers are specified as part of the capability descriptors, so that they go hand in hand.
The factories are no longer stateful. Instead of allocating a factory and then calling a create method on it, you just call a static factory method.
* Add more tests
* Fix some code smells
* Remove more code smells
* Combine "ServerIntegrationTests" and "ClientIntegrationTests" because both are client integration tests just using different servers
* Clean up resources after test
* Improve kill logic for spawned child processes
* Improved testability for Stdio
* Fix SseIntegration tests
