NY income tax

NY State Retirees with 403b and public pensions

NY residents are exempt from State Income Tax on public pensions and 403b's (teachers, civil servants, etc).
How do we remove the state income tax ESP automatically calculates (and which then impacts std of living)?
We've "forced" it by changing state of residence to NH (with 0 state income tax) but that then would also impact any NY State income tax that might be due on other than pension/403b income.
Note: it's also not possible, at least as far I can find, to change the state of residence initially entered without adding a "second state".

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