Work is already underway in that direction:

https://github.com/deepseek-ai/DeepSeek-Prover-V2

but also

https://deepmind.google/discover/blog/alphaevolve-a-gemini-p...

Terence Tao is doing a lot of work in this direction.

Kevin Buzzard is reportedly working on formalizing a modern proof of FLT. This effort has already managed to surface some unsound arguments in one of the prereqs for the proof (namely crystalline cohomology) https://xenaproject.wordpress.com/2024/12/11/fermats-last-th... though the issue has since been fixed.