Reporting coronavirus-related 401k distribution after moving to another State

I took a coronavirus-related distribution from my 401k in 2020 while living in Oregon. I then moved to another state (NY) during the same tax year (2020). I am paying the Federal tax on this distribution over 3 tax years, but I paid the State tax in full on my 2020 Oregon return. How, then, do I communicate to the State in which I currently live (NY) that I've already paid the State tax on that portion of my Federal AGI?

I am uncertain how to prevent NY from taxing that part of my income.