Tax help for military filers

I am a bit confused with .  On page 14 of Pub 361, it appears you are able to exclude all military pay from NY State taxes if the following three conditions are met:

 

If your domicile was New York State when you entered the military and:
• You meet all three conditions in Group A (see page 5) for the tax
year, you will be treated as a New York State nonresident for the
full tax year.
You may claim a refund of any New York State income tax
withheld from your military pay by filing Form IT-203 with the
department. You must include an explanation that contains all of
the following:
1. a statement that you did not have a permanent place of abode
in New York State during the tax year;
2. the location and a brief description of the permanent place of
abode you maintained outside New York State, and the
beginning and ending dates of your stay there; and
3. the exact number of days you were in New York State during
the tax year.