Have you purchased new tires already? Cheapest tires I'd recommend would be the Achilles 2233. It lasted 42,000 km (with a bit more left before the tread indicator) including a track day and lots of spirited driving through mountain roads.
Never had any problems with traction - it was good enough to make me win a time attack event against other people with track tires. I bought them for 3.3k (225/40R18). Should be much cheaper for your size.
If you're going for GT, I'd recommend the Champiro HPY, which are their high performance tires. Eco tires have generally crappy traction.
I don't see the point of getting China tires like Westlake when Achilles (Indonesian brand) costs about the same. GT is an even more established Indonesian brand though it's slightly more expensive. Same with Federal which is Taiwanese.
Bottomline - GT, Federal, and Achilles are the only affordable brands which I think are worth considering. Tires are one of the most important parts of your car and play a really big part in your safety, so I don't think you should skimp on them.
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