Guo and Zudilin's second q-analogue of a supercongruence

Define the $q$-shifted factorial by $(a;q)_0=1$ and $(a;q)_k=(1-a)(1-aq)\cdots(1-aq^{k-1})$ for $k\geq 1$, and let $\Phi_n(q)$ denote the $n$-th cyclotomic polynomial. Let $m$ and $n$ be positive integers with $n\equiv 3\;\allowbreak(\operatorname{mod}4)$. Guo and Zudilin's q-congruence conjecture.

$$\sum_{k=0}^{mn-1}\frac{(q;q^2)_k^2(q^2;q^4)_k}{(q^2;q^2)_k^2(q^4;q^4)_k}q^{2k}\equiv 0\;\allowbreak(\operatorname{mod}\Phi_n(q)^2),$$ $$\sum_{k=0}^{mn+(n-1)/2}\frac{(q;q^2)_k^2(q^2;q^4)_k}{(q^2;q^2)_k^2(q^4;q^4)_k}q^{2k}\equiv 0\;\allowbreak(\operatorname{mod}\Phi_n(q)^2).$$

This is described as another $q$-analogue of a previously known supercongruence. The source states that the $m=1$ case was proved, while the general conjecture remains open.