Congruences modulo powers of $7$ for partitions with colored odd parts

Let aₖ(n) denote the number of partitions of n in which even parts occur in one color and odd parts may occur in k colors. We prove infinite families of congruences modulo powers of $7$ for aₖ(n) when k ∈ \4,5,7\. For each positive integer $α$, let λk,α be the least nonnegative solution of 24λk,α≡-(k-2)7^α. Then, we show that \[ a_k(7^αn+λk,α) ≡ 0{7(α+1)/2} \] for every nonnegative integer n. These results extend congruences modulo $7$ of Hirschhorn and Sellers (2026) and complement Chen's (2025) congruences for the reciprocal crank parity function a₃(n).