I hate to be the bearer of bad news, but unless others can post some easier secrets here is what you face. Any voids I have ever found have had water intrusion and worst of all, dirt. Any dirt prevents a good bond and further water can enter any voids.
The only solution I have found is to cut the void open, perhaps with a dremel and clean the interior. Then rinse with a solvent like acetone to aid subsequent adhesion.
Further, git rot and equivalents are epoxy and should not be mixed with polyester. In general, epoxy has far suiperior adhesion characteristics as long as dirt is removed. I'd use epxoy of any type, not polyester. If required you can thicken it with fillers. Coating old surfaces with liquid epoxy mix, then completing the void fill with thickened epoxy (before the liquid coat drys) maximizes adhesion.