You are right that the income from the payout if received in 2023 wouldn’t be shown until the next year, but it would still be a student asset( I thought your income was $54k?)
I will defer to @kelsmom, I’m not sure but the new fafsa coming in December might have a different formula than you cite above.
ETA: It looks like for the new FAFSA coming in December 2023 that the income threshold for “Applicants Exempt from Asset Reporting’ (formerly the simplified means test) is increasing from $50K to $60K. But, NYU uses CSS Profile, not the FAFSA SAI to put together their FA packages, so I expect that the asset has to be reported in CSS Profile.