Congruences for self-conjugate partition counts at multiples of 36

Let $u_2(n)$ and $u_3(n)$ denote the quantities defined in the paper. The observed congruences are

Congruences for $[...]$.

$$\nu_2(36n+30) \equiv 0 \pmod{4}$$

and

$$\nu_3(36n+30) \equiv 0 \pmod{2}.$$

These are presented as an observed further congruence pattern following the proved congruences for the restricted partition functions; no proof or resolution is supplied here.