I plan on leaving my job, should I work all of my remaining shifts or only some of them?

Weird title, but I have an explanation.

I've worked at my current job for about two years now and I decided to try looking for another job due to low pay and frustration with management. My friend works at a local paint store and they were a bit understaffed, so I applied, got an interview, and according to my friend I should be a shoo-in and I should get an answer within the next day or two.

Assuming I get the job, I plan on putting in a two weeks notice at my current job. The thing is, my current job puts out the schedule over three weeks in advance, and I already have shifts scheduled through mid-August at the moment. I'm gonna work for the two weeks past the notice, but should I work any scheduled shifts beyond that? Can they require me to work any shifts beyond two weeks?

Sorry if this is a stupid question, first time leaving a job lol

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