Cool idea. This might be a time where an option to have an alphabetically ordered keyboard would be useful.
By the way, I like testing AIs on new games as they aren't in the training data and gpt5.6 sol high thinking was able to get from my second guess result to the correct answer. One letter was already locked and four more were down to a five letterish range. Still impressive as I remember models up until about the second generation of reasoning models really struggling with games like wordle.