It might be worth asking the watchmakers listed here, Katt is one of them, or reaching out locally. My local watchmaker can work on a variety of movements. I think manipulating the keyless works is a similar principle for all of them, so he was able to do the job for me although he was puzzled by the Seamaster’s faux jewels He. Must’ve know the watch is a rep although neither he nor I openly pointed that out.
The worst thing that can happen is the watchmaker will refuse to work on a rep or claim he can’t do it. If it were me, I’d keep on asking online and in person until I find one who will take the job. I have a feeling someone will agree to it