If you're staying under $500, I'd recommend a g920 or a g923. The motor is identical (don't let logitech fancy branding confuse you), you're basically just paying for the buttons.
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With that said, if you're a big F1 fan and want an F1 wheel, thrustmaster sells this: https://www.amazon.com/dp/B08WVF3SB4/ref=twister_B09FPV99PQ?_encoding=UTF8&th=1. If you're interested I can put together a pedal/wheelbase set with this for you.