Leaving after go-live

My customer goes lives in a few months and I want out but after weighing the pros on and cons of leaving before go-live I think I want to see it through.
I don’t want to let my coworkers down and I could save a little more.

My question is, what does it look like the the first month after go-live for an IS?

Would I be horrible to put in my notice right after go-live?

I’m thinking about starting grad school and it would begin in the middle of my last month. Aka the first month post go-live, doable? Is the first month post-live worse than pre-live?

Any thoughts would be greatly appreciated!