I’d put a release agent on the metal parts as it sits in the picture, being very careful to keep it off the wood. Then I’d do an epoxy repair with a slow setting epoxy. Any visible “squeeze-out” can be wiped off with a dry cloth or paper towel while still un-set, then an alcohol dampened soft cloth can be rubbed over the area to remove any thin smears of epoxy, again while still un-set.
I’d apply some painter’s tape on the wood where I intended to wrap some duct tape around the parts to act as clamping. The duct tape directly on the wood might remove some of the finish when pulled off but the painter’s tape will let you reef down on the duct tape and will not take any finish up with it when you remove it.