Part Time Job affecting what I owe

I am married and file jointly.  I picked up a second job and on my 2022 taxes, we owed more than I made at this job.  I claim 0 and my husband claims 1.  It looked like we still stayed in the same tax bracket and didn't owe anything until I put this W2 in.

 

Should I change my filing to single & 0 to counterbalance this?  

 

Any advise is greatly appreciated!  My second job should be to have extra money, not owe more than I make.