Review the item:
If Chris hopes to survive in his 8 a.m. English class, he needs to discover
caffeine even when he has a test, his head hits the desk by
8:05,
and snores soon escape his mouth.
The comma between 8:05 and and is completely correct. His head hits the desk by 8:05 is a main clause. Snores soon escape his mouth is another main clause.
A comma and a coordinating conjunction like and can legally connect two main clauses.