The significance of omega-3 fatty acids, specially Eicosapentaenoic acid (EPA) and Docosahexaenoic acid (DHA) (present in fish oil) for human health is now well recognised and also show their efficacy to reduce mental disorders.
I don't think any of the dietary recommendations are set for brain health, let alone mental health. You can check studies on the Mediterranean diet and mental health and see if they are reporting of the frequency of fish consumption.
Despite the lack of set dietary recommendations for omega-3 PUFAs, meta-analytic evidence suggests that at EPA may improve anxiety at doses > 2 g/day (Su et al, 2018) and depression at doses 0.2-2.2 g/d in excess of DHA (Sublette et al., 2011). This contrasts the findings of a more recent meta-analysis by Deane et al. (2019). In any case, the EPA/DHA ratio, origin (e.g., marine vs. plant), form (e.g., ethyl ester, triglycerides, free fatty acids, monoacylglycerols) should be considered. There is an excellent review by Bazinet et al. (2019) focusing on EPA and major depression, which contains great references.