Sync Free/Busy Between Calendars In The Same Tenant

[tictag]

TL;DR: How to sync free/busy from one calendar (e.g. personal) to another (e.g. business) in the same tenant?

I principally use two mailboxes (email & calendar) within my tenant, one for personal use and one for business use. I also use Microsoft Bookings linked to my business calendar. I am finding that people are booking time with me via Microsoft Bookings when I am already busy because the meeting I am busy in is on my personal calendar.

I have already contacted Microsoft Support and they have confirmed that there is no OOB functionality to do this. Power Automate to the rescue?

So this is just a 'would it be possible' query.

Would I be able to trigger off a 'create/delete appointment' event from an Exchange Online mailbox source that then creates/deletes a 'placeholder' event in a different Exchange Online mailbox? I'm thinking this would then essentially then create a free/busy sync between the two.

Does a template flow exist?

Any gotchas?