The main additional information that you have to provide is an explanation that the New York wages shown on your W-2 is a mistake, and that you never worked in New York in 2022 at all. If you can get a letter from your employer saying that it's a mistake, that would help.
To complete Form IT-203-B in TurboTax, in the Wage Allocation section of the New York interview, on the screen that asks you to select an allocation method, select "Allocate by Number of Days." On the screen that asks for work days outside of New York you will enter the total number of work days for the year (after subtracting weekends, holidays, vacation, etc.). This will result in allocating $0 wages to New York. When you check the New York return for errors you will get an error message saying that the number of days worked outside New York should be less than the total number of days worked. But in your case it is not less, since you actually did work outside New York on all work days. You can just ignore the error and print the form with $0 wages allocated to New York.
Form IT-203-F does not seem to apply to your situation. It's for allocating income to different years. They might be asking for it because they think the New York income on your W-2 might be attributable to work that you did in New York in an earlier year. So you might want to add to your explanation that the New York income on the W-2 is not related to work done in an earlier year, so Form IT-203-F is not applicable.
I'm not sure how you can complete Form IT-203-F in TurboTax, unless you have some capital gains or losses, or capital gain distributions. If you do have one of those, go to the "Nonresident other allocations" section. On the New York Income Allocation screen check the box that says "Check this box to use Form IT-203-F to allocate all or part of your capital gains using multiple years."
