I'd go onto a BMW forum and see what they say. I've heard that the PS4 tyres are great but don't last as long as other brands.
I did some heavy research a while ago into tyre brands and models and found that you can often get 80% of the way to a performance tyre for 60% of the cost if you do your homework.
That was in 2019 so not relevant to todays market.
Partially true. The PS4 really doesn't last long, a small amount less time than the Goodyear Asymmetric 5. On my gf's diesel Audi, the front PS4's were gone within 12 months. The GY Eagle F1 A5's lasted around 14 months. She's now got the Michelin PS5's on there and one of the big selling points of the PS5 is that, although they haven't improved the grip massively, they have improved the wear rate dramatically.
For comparison, the PS4S tyre on the rear of my 500bhp heavy C63 is now on 5mm after almost exactly a year and 10k miles (fronts are on 5.5mm after 15k miles at 15 months). I had a similar experience with them on my BMW M3. I've said it before, and I'll say it again - the PS4S is magic. How they manage to make it wear so well, and grip so well is beyond me. The PS4 - not so much. It is a really good grippy, comfortable tyre, but the wear rates on it just aren't good enough. The PS5 though has hopefully solved this.
My advice - if you can't get the PS4S, forget the PS4 and get the PS5 or Goodyear Eagle F1 Asymmetric 6.