We used Alumilite Amazing Deep Pour Epoxy to fill holes in a 1-1/2" table top. All went well except that some of the resin seeped past the tape covering the hole, creating a thin layer on what we hope to be the top of the table. It's spalted maple, so pretty porous.
I'd carefully use sandpaper and do it slowly by hand simply because it seems to be a special table top. Now you can also use an Exacto knife but again, be careful and go slow. I've removed thin layers off of parts that shouldn't have them like this before and always go straight for my Exacto knife and not anything else - the thin blade is the best for lifting thin mistakes.
Usually, within 48 hours of it hardening, if you warm it slightly with a heat gun you might be able to pull it off in one piece. I’ve done this many times it the past when resins spilled, leaked, the casting warped, etc, however, I’ve never tried on spalted maple. If the spalted maple was stabilized, you might have a better chance, but I see a lot of work and frustration in your future.