MS Bookings is pretty similar, but last I checked was more work to setup for an individual than Calendly.
https://www.microsoft.com/en-us/microsoft-365/business/sched...
Their mobile app has a Send Availability function, which I can’t find in the desktop apps at all.
https://support.microsoft.com/en-us/office/how-do-i-send-my-...
And there’s also the ability to insert your calendar into an email from the desktop app. This is more coarse grained than the mobile app feature, and it basically sticks a table with your availability for some time period in an email.
https://support.microsoft.com/en-us/office/send-an-outlook-c...
I use Calendly