Hello, I am aware that for NY STATE, if I got a star rebate check  as I did years back I  report it in Turbo tax so it reduces the Deduction for [property tax. However, in 2021 i have questions

Assume my prop tax paid in 2021 was 13500,  and the tax assessment already included the star exemption on the bill. NO STAR Rebate was sent.

HOWEVER!

IN 2022 I did receive 2 rebate checks

2022 Homeowner tax rebate credit (HTRC)

https://www.tax.ny.gov/pit/property/homeowner-tax-rebate-credit.htm   $2045
and  on March 5, 2022
under the American Rescue plan $375. Also not called star

Turbo tax computed I get $350 for the REAL PROPERTY TAX RELIEF CREDIT (IT 229)

is this correct?  Do I need to list these checks I got in 2022  in the 2021 taxes?