> I'm looking at (or now debating with the AI) what is the best algorithm for something.
That line always makes me laugh. There’s only 2 points of an algorithm, domain correctness and technical performance. For the first, you need to step out of the code. And for the second you need proofs. Not sure what is there to debate about.
Not true. There is also cost, money or opportunity. Correctness or performance isn't binary -- 4 or 5 nines, 6 or 7 decimal precision, just to name a few. That drives a lot discussion.
There may be other considerations as well -- licensing terms, resources, etc.