I totally misread that as you were working for the state!
Best wishes to you in your new job.

If you quit without giving the state 2 weeks notice, you will not be eligible for rehire by the state should you ever be interested in going back to work for them.

I took FMLA, returned for a few weeks (maybe 6), couldn't stand my coworkers (it had been a problem for a while, but I couldn't quit sooner due to my health issues). Had a meeting with my supervisor (she had told me a few days prior that she was taking me off of my probationary period as I had successfully completed it and there were no issues with the quality of my work), in which she asked me about any problems or concerns I had during my orientation. I told her. She then informed me that she had decided to extend my probationary period as she was concerned that I wouldn't "fit" and anyone working in my office had to be a good "fit". I told her I was done, the ageism, the offensive remarks (I had just had a bilateral mastectomy, one of my coworkers kept assuring me I could get some "big ol' falsies!"), just stuff like that. No one would follow the covid guidlelines, I was told repeatedly that "we don't mask in this office" and it didn't matter what the governor's mandates were. I was in active treatment for cancer for crying out loud! My coworkers, with the exception of a data analyst were all nurses. I'm still super angry over the whole thing. So I told my boss she would have my resignation on her desk by the time I left that day. I gave a 2 week notice. I went home and thought about it, I emailed in an resignation effective immediately, that I would be in the next morning to pick up my belongings. I applied for unemployment due to the working conditions, the lack of compliance with covid guidelines which jeopardized my health, as well as blatant ageism. I was turned down by unemployment after they contacted my supervisor, who told them that I was "unhappy" in my job. I loved that job! I didn't bother to appeal. I'm so disgusted with the state of Washington as an employer. Anyway, a short time later I received something from the HR office telling me that I was not ever eligible for rehire as a state employee. That's been a year and a half ago. I've just been living off of savings ever since. The thought of ever going back to work and being treated like that makes me sick.

Anyway, just know that if you resign without giving 2 weeks, that makes you ineligible for rehire.