Michigan does not tax non-resident remote workers. If your employer mistakenly withheld any MI income tax from your pay, then you'll need to file a non-resident MI tax return in order to have those taxes refunded. On that return you'll show the MI withholdings, but you'll allocate zero income to MI.
As a full year resident of NC, 100% of your 2022 income is taxable by NC, regardless of its source. You will not be able to claim an other-state credit on your NC return, because in actuality you owe no taxes to MI.
Note: my answer assumes you never physically worked in MI in 2022.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
