i feel like i have seen headphones with usb-A and 3.5 mm, but never ones witj usb-C and 3.5mm, let alone usb-C, 3.5mm and quarter inch jack. i’d advice to just get headphones you like and a couple adaptors.

I think you need one of those dac dongle to connect phone to your headphones. I’ve never heared of headphones with integrated dac, hence a usbc input is useless.

I’ve never head headphones with both connectors. There are plenty of type " connectors that have both though

What’s your budget?

https://en.creative.com/p/sound-blaster/sound-blaster-play-4

Check this. I’m not sure it is available for the country you live.