Fix mypy type annotation for kwargs parameter

[skypher]

Summary

• Fix incorrect type annotation for **options parameter in GamebotClient.__init__
• Change **options: dict[str, Any] to **options: Any since kwargs annotations specify the value type, not the full dict type

Test plan

• Run mypy on all Python files - passes

Reference: https://typing.python.org/en/latest/spec/callables.html#annotating-args-and-kwargs

[StephenCWills]

• Update mypy CI workflow to check all Python files (discord_bot.py, bot_db.py, ztapi_client.py)

It was previously pointed out to me (#45 (comment)) that mypy would check local imports, so it shouldn't be necessary to explicitly add bot_db.py or ztapi_client.py. Is that no longer the case?

[skypher]

• Update mypy CI workflow to check all Python files (discord_bot.py, bot_db.py, ztapi_client.py)

It was previously pointed out to me (#45 (comment)) that mypy would check local imports, so it shouldn't be necessary to explicitly add bot_db.py or ztapi_client.py. Is that no longer the case?

I've checked this and removed that hunk. Great catch!