DisplayPort is supported over USB-C. I have an older Samsung 4K monitor that supports 4K60 over a special-but-cheap USB-C to DisplayPort cable I bought 3-4 years ago. It works with my iPad mini 6, my recent MacBook Airs, and as of last weekend, the iPhone 15. HDMI is a trickier situation apparently
because of the audio involved and the lack of robust support compared to DisplayPort. I also have a small USB-C hub that includes an HDMI port, maybe I'll try that tonight.