This exact same thing happened to me. Here is what you can try. First try to lightly tap in a slightly larger hex socket to get the drain plug loose. If that doesn't work go to an auto parts store and get one of these
https://www.amazon.com/Extractor-Str.../dp/B07GZ17QD9
Worked like a charm for me.
Then when I installed the new plug I made sure it was just hand tightened. Best of luck.