Q. If my MN W4 has two allowances I shouldn't be concerned of owing?
A. That's correct. You should get a refund (unless there is zero state withholding).
Actually, you should be claiming three allowances, if that is your only job. One allowance each on lines A,B and D and maybe a fourth on line E.
https://www.revenue.state.mn.us/sites/default/files/2023-12/w-4mn.pdf
