ARISE is good, but AROSE is better, and SOARE is the best: On average it eliminates all but 2264 out of ~12000 5 letter words.
SOARE 3.45
RAISE 3.46
ARISE 3.47
SERAI 3.52
Most 'reasonable' words seem within 0.1 or so of the optimal strategy. I think the second word is likely far more important than the first.The assumption you need to make for my analysis to be correct is that the letter patterns in the 2,500 possible answers is statistically similar to the distribution of letter patterns in the original 12,000. There are probably some differences between the distributions, and I'd love to rerun my code with the actual word list Wordle uses, but in the absence of that list, I think that my code does about as good as possible.
[1] uses for the answers; I assume it allows all 12,000 for guesses. [2] NYTimes does not specify which source they used