Our first also needed a frenotomy, and we had to go to a specialist clinic outside the hospital.
My best understanding of that situation was that they first wanted to make sure it was actually a problem over a week or two of observation. Then, the procedure was technically classified as dental surgery, so a doctor at a hospital couldn't perform it for professional/ethical/insurance reasons.
The first time I tried this was with my kid's crib. I ended up forgetting it was there and I had to borrow tools from the movers instead. I got most of the way through the disassembly before finding the hidden allen key and realizing I had outsmarted myself.