Feat/logger access

[Karrenbelt]

Expose the client logger as a public property and correct its type annotation to LoggerType. Update documentation to reflect that the WebSocket client is asynchronous rather than synchronous.

Closes #196

Changes

• Expose logger via a public attribute instead of relying on private access.
• Fix logger type annotation (Logger -> LoggerType).
• Update docs: "Synchronous WebSocket" -> "Asynchronous WebSocket".