Expose Google Calendar to Homekit

I am a new Home Assistant user and need your help. I am in the process of replacing my Homebridge with Home Assistant and already had some success thanks to ESPHome. Now I have the Google Calendar integration set up and also have the binary sensors on the dashboard.

How can I expose the calendar.sensorname to Homekit? Entering the entity under include_entities: did not add it to Homekit. Thanks in advance.

Does Homekit even support calendars? I don’t use it, but I could imagine that it doesn’t support calendars.

A switch for each calendar sensor would be good. Is this possible without helpers and automations?