Does an Apple Care plan cover cleaning my computer?

To specify, I spilled some completely melted ice cream on my BRAND NEW MacBook. It didn’t get in anything, and I cleaned it up alright, but there’s some gunk lodged in these little slots under where the screen swivels open and closed that I can’t get to.

I know I can’t remove the screen myself (besides the fact that it’s probably physically impossible for me, it would void my warrenty), so I was wondering if my Apple Care plan would cover sending it in to have it cleaned.

I don’t want to call and it not be covered, and then have them know that I spilled some crap on my computer.

Thanks everybody, stay awesome.