Just my opinion this not a criticism.
Don’t skimp on dry track tyres. You could buy a set for £3-400 and be happy enough but you will be at the limit of them tyres.
For the sake of an extra couple of hundred quid you’ll be into proper semi slick territory that will keep on the track better...
PS4 for damp/wet/road driving. They handle standing water on track no problem
I can’t comment on the dry tyres you mentioned but I got a set of AR1 for £480 recently off eBay and they’re very good. Just have to wait for an offer or Black Friday
They are fine of course. You could run practically anything you want. Will be good grip wise but not great. Will get very hot quickly on a dry day but be almost unbeatable in damp/wet conditions. If you absolutely have to have only one set of tyres then these would be my choice