Multi-state taxes are complicated. You need to go to a tax professional who specializes in multi-state taxation to straighten out your situation. If you are going to be regularly performing in multiple states, you will probably need an ongoing relationship with a tax professional.
Here's a broad overview of some of the considerations.
Each state has different tax rules, and each state has its own definition of a resident for income tax purposes. That's why it's necessary to know the specific states involved in order to determine how to handle your taxes. But don't even bother to post the specific states here. Your situation is too complicated to be handled properly in this forum. You need a professional who can examine all of the details of your situation and advise you on how to handle it.
As a general rule, all of your income is subject to tax by the state where you are a resident, no matter where the income is from. So it's quite possible that you were required to file a tax return for 2022 in your home state. Any income that you earn for working in a particular state is also subject to tax by the state that you worked in, even if you are not a resident of that state. States have various arrangements to avoid having the same income taxed by more than one state. The details of those arrangements depend on the specific states involved.
You certainly were a resident of your home state until you went to the first other state to work. You might have been a resident of your home state for the entire year, depending on that state's definition of a resident. Working in another state does not necessarily make you a resident of that state, but again it depends on the specific rules of each state. Because the states have different definitions of a resident, it is possible to be considered a resident of more than one state at the same time.
When you go to the tax professional, bring all of the documents that you have for 2022: the letter from the state, your W-2s, the tax returns that you filed, etc. You might also want to bring similar information for 2023 and ask the tax pro to look that over also.
