Total days worked at home should be zero (or leave it blank). That's referring to telecommuting, which is not what you did (as I understand it). Total days worked in NYS should then be zero.
Based on your original question I assumed that you worked at your employer's location in another state, not in New York, all year. If you worked at home in another state, and telecommuted to New York, that could change the picture. In that case, you need to take a step back and explain your work arrangement in more detail, including whether you ever went to your employer's New York location.
If my assumption was correct, you did not work in New York at all in 2022. What makes it an odd situation is that normally if you did not work in New York at all you would not file a New York tax return. You only had to file because of a mistake on your W-2. The tax forms are designed for normal cases, not for correcting mistakes. The Department of Taxation is only asking for IT-203-B because your W-2 shows New York wages (and possibly New York withholding), but you reported zero New York wages on your tax return.
I think you should just reply to the letter from the Department of Taxation, and not file anything or do anything else. In your reply, give a clear explanation of what happened, and include the IT-203-B showing zero days worked in New York. Then just wait until you get a response from them.
