What tyres are on it at the moment? Assuming you just ran your road tyres on the track?
Looking at taking mine on a TD at some point and assumed I'd need to bring a spare set of boots but your post making me think otherwise... probably be Donington as well as only 20 min up the road from me
Michelin Super Sports, which are fine for a novice track day, downside is as you push harder and stay out longer as MPSS sweet spot for operating temperature is 40-60c and to keep pressure around 33-35psi hot. Once your over 70c they get rather greasy which in the Summer is a temperature you will easily exceed on track, think I hit around 86c on the track day and the car was becoming more a handful. If you start doing regular track days that is where a tyre like Michelin Cup, Nankang AR1 comes in as their operating window is like 50-90c at around 30-32psi, so much better and remain far more consistent than regular road tyres, on a dry track day.
Do it, so much fun!