OK, since you tell us that you intend to stay in Oklahoma permanently, you need to take steps (for 2022) to show that you are changing your domicile. Note, the IRS, and the state of Maryland do not care that the Oklahoma university system doesn't consider you an OK resident.
Maryland will claim you as a resident until your change your domicile. This includes, renting/buying property in OK, registering to vote in OK, changing my drivers license to OK,, paying utility bills in OK, telling the post office not to deliver mail to your Maryland address any longer, and so on. There are many factors that go into this decision, and the judgment is based on the preponderance of factors.
You can claim to not be a resident of Maryland in 2021 ONLY if you can demonstrate that you did all these things in 2021. Otherwise ,get on the stick and start doing things to show your residency in 2022.
Oklahoma says this: "“Domicile” is the place established as a person’s true, fixed, and permanent home. It is the place you intend to return to whenever you are away (as on vacation abroad, business assignment, educational leave or military assignment). A domicile, once established, remains until a new one is adopted." See the Oklahoma instructions on page 3.
You owe whatever Oklahoma assesses you, less any refund from Maryland, if any. Or conversely, if you are granted a refund from OK, that is netted against your Maryland tax, and you owe the difference, whether positive or negative.
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