With the pieces in place, it's time to bring them up.
conditional types.
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For each model reasoning was enabled, and the reasoning effort is set to high. I included GPT 5.2 because it could be argued that it can reason better than mini. However, I couldn't test GPT 5.2 as much as the other models because it was too costly. Gemini 3 Pro was costly as well, but it didn't spend as much time as GPT 5.2 during reasoning which made it more affordable in my experience.