Yes, and as a math problem, it's been solved a thousand times already. This is not like Fermat's last theorem where no one could find a solution that worked, or

Yes, and as a math problem, it's been solved a thousand times already. This is not like Fermat's last theorem where no one could find a solution that worked, or prove that none existed. This is a situation where we know for sure no solution exists with the axioms of GR or QM. So, you need to add new axioms, and it's easy to add new axioms to solve it, as has been done already in various ways. The remaining problem is to see if any of these axioms are in any way physical, which is a problem of physics, one that can only be solved with data.