Advice for roommate’s lack of headphone use

I'm in college and have to sleep and work in a single room with two other people. It's a small space, so I do know to expect that we'd be stepping on each others' toes a bit. My problem is that one of my roommates almost always is watching videos--pretty much whenever he's awake--and will not wear headphones. I have asked him if he could wear headphones while I'm in the room, but he told me that he cannot wear them. This is where my dilemma is. I want to believe him and to respect any accessibility needs if it is true that he can't use headphones or earbuds (though I do somewhat doubt this because he attended our school's silent disco and says he had a good time) but I feel like it is common courtesy to wear headphones when listening to things in shared spaces, especially when others are working or trying to sleep. I don't want to be rude or call him a liar, but I'm getting seriously sick of constantly having to wear my own headphones and turning the volume way up to not have to hear whatever youtube video or tiktok he's watching. Is there any way you suggest approaching a conversation like this? Any possible compromises we could make?