For a fixed tuple of supports with union of size $t$, the absolute mixed moment is at most $q^t+2^m 2(N+1)e^{-Nq^2/2}$. Here $m$ is the number of supports and $N$ is the size of the predicate domain. This is a normalized version of Lemma 4.12, with a nonoptimal concentration factor. Condition on all but one predicate in each nonempty subcollection; a union bound controls their correlations simultaneously. Independence of the coordinate labels then gives one factor $q$ per point of the union.