Kissing him aggravates my eczema because of his beard. Would it be appropriate to ask him to shave?

I (19F) recently started dating someone I met off hinge (20M). It’s been great so far. At the end of our third date, we went back to his place and made out for like an hour or two. It was amazing in the moment, but my face felt pretty much raw afterwords. Like my skin had been scratched off. The next day the lower half on my face was covered with an eczema flare up which I’m still trying to treat.

He has a stubbly kind of beard, so the hairs on his face are pokey. It looks great on him and it’s his body and how he chooses to style himself is his choice, so I don’t think it would be appropriate to ask him to shave it off. I don’t want him to think I’m controlling by asking him to shave off his beard.

I’m not entirely sure how to deal with this issue? I like making out with him but don’t want my skin to freak out for the next few days after. My ex was clean shaven and we didn’t have this issue so I know it’s because of his beard.