Since your client lives in Brooklyn, the income from K-1 is already included in NYS taxable income which is the same as the taxable income for NYC.  The K-1 income should already be picked up automatically as NYC taxable income.

Since PTE's are generally taxed at the entity level in NYC, you may also like to refer to this thread for a discussion about the credit(s) available to partners/shareholders:

https://proconnect.intuit.com/community/proconnect-tax-discussions/discussion/what-are-the-new-york-...