I would go for the direct translation, it is safer.

Neste caso, uma vez que é o nome da sede, não há grande explicação, pode ser traduzido à letra, quanto a sede, também encontrei um sinónimo, que seria "headquarter", pois no fundo uma sede é um escritório central. Agora fica ao teu critério, o resto penso que seja como escrevi acima.

This is a technical term and therefore its translation must be carefully examined.
Despite the fact that other legal systems have equivalent provisions, the translation used by the STF in its English-language official publications seems to be the best choice.

The excerpt quoted from the ruling refers to the expression as an effect, and not as a requirement for the admissibility of an extraordinary appeal (that is another possible meaning, indeed - but not in this context).
Thus, the General Repercussion effect would be the adequate translation and, as already mentioned, it is the one used by the STF itself.


"This type of session was created in 2007 following the Judiciary Reform
that, among several innovations, established a new requirement for
the Supreme Court to hear Extraordinary Appeals, the so-called
General Repercussion effect. Since then, it has undergone several
improvements to better meet the parties’ needs and comply with the
Court’s institutional role [...]" - Check reference below.