There is no language where, given a constituent class some members of which are immediate constituents of the sentence at the point in a grammatical derivation where verb-agreement rules apply and some others members are non-immediate constituents of the sentence at that point, the verb agrees with some or all non-immediate constituents but with no immediate constituents.
Standardized
Provided there is a constituent class some members of which are immediate constituents of the sentence at the point in a grammatical derivation where verb-agreement rules apply and some others members are non-immediate constituents of the sentence at that point: IF the verb agrees with some or all non-immediate constituents, THEN the verb also agrees with at least some immediate constituents.