Adapters like this are pretty easy to just buy.
https://smile.amazon.com/LQ-18RY-Platform-Cordless-Batteries-BD20-20BE/dp/B09TJGHD1Z/ref=sr\_1\_2?keywords=bauer+to+black+and+decker+adapter&qid=1673716713&sprefix=bauer+black+and+dec%2Caps%2C99&sr=8-2