As a fairly new keeper myself I don’t check the mouth and thankfully haven’t had reason to. I love the advice already given here great stuff.
My advice to you that hasn’t been said is check for poop and urates and then check again. I’m not sure your set up and all but check check check. Especially under and beneath hides.
A few times early on ive checked all around when the animal was in the hide and all seems fine then go to get the snake out and bam it’s laying on or around nastyness.
Also change that water and clean the bowl every few days or weekly. Another thing I started off being lax about and I would always fill the bowl but not take it out and rinse and clean. If you don’t you will see particles and crap in there or they may even poop in it and you miss it and that’s bad for the animal.
Other than the obvious temp and hunidity checks on the regular that’s what I would add.