AI for Crossword Puzzles and Logic Puzzles

For those of you who use multiple AIs, which ones are set up best to generate a crossword puzzle or a logic puzzle? I’ve used Grok, and it managed to generate the logic puzzle clues moderately well. However, these were completely fabricated plots. I also had to tweak some of the clues because they contradicted each other. When I tried to generate a crossword puzzle through Grok, it failed miserably. Since I haven’t used the other models (outside of @Thomas Umstattd Jr.’s patron tools that I have no idea which one runs on what), I don’t know how they work.

Once I find the best one for these types of puzzles, what prompts will get it to understand what I’m actually asking it to do?