Even if you get a more low profile tire, you'll still need to work on your suspension. With a low profile tire, you'll just have an even bigger wheel gap. Look into getting coilovers so you can adjust the height and dampening of your suspension. The biggest bang for your buck right now is function form type2s or type2.5s. The 2.5s are more into the autocross side and I'd advise either type1s or type2s for daily driven. Having a low profile tire won't help without new suspension. It's like having a bigger dick but you don't last any longer in bed. You need to work at both in the same time.
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