No need to worry about oil coolers and bigger radiators until your getting 90%+ out of the car.
Not to say gentle track time won't expose existing maintenance problems, but you could spend years and $1,000s of dollars fixing 'everything'. "just to get ready"
The car will be oK. Register and go.
Brake fluid, reasonably good brake pads, and good synthetic oil are all I recommend for getting your feet wet.
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