1. Make sure new bridge matches old WRT saddle location so intonation remains OK (assuming it was previously). Measure to check.
2. Clean exact bridge footprint on top with straight-edged razor blade or equivalent. Repair any damage from old bridge removal.
3. Now is time to reduce belly. Read "belly reducer" instructions and make your own plates:
https://proluthiertools.com/product/belly-reducer/
4. Make sure new bridge matches top surface closely. Some sources say perfect match not required.
5. Glue and clamp.
I am NOT a luthier.......