How long does he have this/
How old is he?
What does he eat?
I am sorry Max has this issue. It sounds like feline acne:
It is usually due to clogged sebaceous gland which are common in older cats.
You can dab on a bit of vaseline to loosen it up and then wipe it away with a q-tip.
Max may also be a little underhdrated. Try some canned food
Give him one tsp a day of fish oil like from a can of tuna or salmon. He can also have a half tsp of plain yogurt every day for good baceria.
Switch to metal or glass dishes as plastic promotes feline acne.
Please let me know how your boy is doing.
Best wishes for him,
It is my pleasure to help someone as nice as you and your sweet boy.
I will always be here for both of you.
Thank you for pressing accept.