Leaving a student, contract part-time job after only 4 weeks?

How do I gracefully leave a job without burning bridges?

I despise quitting, and frankly genuinely scared and anxious because it makes me feel like a quitter, spent training that frankly I've just wasted their time on, or gain bad karma or ah!

When I signed the contract it stated two weeks notice.

I've been offered a higher paid part-time job while I'm in school full-time, and I start two weeks from now.

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