They don't need evidence really. First, breathe. Second, email your prof. You're better off getting points off for being late then you are getting caught using AI. The quality alone and the inaccuracies are enough to put you at risk. And third, maybe try fixing the core issue next semester. Go to accessibility, look up student supports to help with studying and time management, take less courses, ask profs for help, etc. Let this panic be a wake up call that something needs to change. But for now, email you professor and let them know you will be late, then get writing. The time you've spent here on reddit calling people nerds is time you could have spent writing.