The credit for the state taxes paid by the entity goes on the State return, as a payment.
(edit.... my comment applies to California. Rick points out other states do it differently.)
It might help if you say which state.
There are generally two approaches, some states give a credit for the tax paid at the PTE level, other states exclude the income already taxed at the PTE level. Either way *something* should probably flow through on a state-K1, where that gets entered I have no idea (and likely it depends on the state).
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