Bridge repair on a factory made uke

A friend of a friend asked me to repair her uke. It's a decent concert, sort of blinged and with a plastic lacquer. Bridge have come clean off together with the lacquer (yes it was glued on top).

But wait a minute... Glued? Look at the underside of the bridge. It's double stick tape! Complete with fiber reinforcement! Some industrial grade, not carpet tape. It has bonded with the finish and it worked for a couple of years. Now it's hard and brittle. I had to pause chipping it off to document this.

This bridge is going to get a wood to wood bond, as it should have been in the first place.