This is essentially what I'm looking for, but I'm struggling to find a specific product to buy. It seems all of my searches turn up results where I need some do

This is essentially what I'm looking for, but I'm struggling to find a specific product to buy. It seems all of my searches turn up results where I need some dorky hand-held controllers, or I need to be connected to a big gaming PC, or that it's a simple headset but the iPhone doesn't actually fit in it. Do you know any that will fit an iPhone 13? I have some decent noise-cancelling headphones already.