We have a similar problem with our 22 yr old Magellan, except the holes are in the mast, the traveler T-rail, etc. The bronze has either broken, or the hole is just stripped. I saturate the hole, and fill the hole with teak, also saturated with
epoxy, then re-drill, or just before the mix is completely dry, re-insert the screw, or a new one, and wait till the whole is fully set to tighten the screw down. So far this process has been stronger than the original. When filling a hole, or drilling a hole in a spruce mast, it is also reccomended that a similar process be used, which is actually stronger than the spruce..
Good luck
Shaman