"Two-way integration of Amelia Wordpress plugin with Google Calendar"

I am looking for a person who will be able to integrate the Amelia booking plugin (for WordPress) with the Google calendar on both sides. The integration of Amelia with the Google calendar itself is not a problem and it is the built-in functionality of the plugin, but the main task is that after adding a free visit date to the Google calendar, the same visit (with the possibility of booking) appears in Amelia. Of course, if a customer makes a reservation for this visit by Amelia, she will also change the status to "Busy" in the Google calendar. I accept the possibility of integration through Zapier type solutions, etc. The most important thing is the end result and full two-way integration. "