Corrigendum to "Representation stability for diagram algebras" [J. Algebra 638 (2024) 625-669]

After the publication of [J. Algebra 638 (2024) 625-669], we noticed a serious mistake in the treatment of the partition algebra. In particular, we assumed in the proof of Lemma 4.9 that the trivial P_n-module is indexed by the empty set but it is actually indexed by the partition (n). In this erratum, we fix this mistake and give a complete proof of Theorem C.