With the Season 12 finale upon us it's no surprise Archer has been renewed for season 13. Season 13 will have eight episodes and will debut in 2022 as of now. Like Season 12, new episodes will debut on FXX and be available to stream the following day on FX on Hulu.
You can read more about the announcement on Variety here: https://variety.com/2021/tv/news/archer-renewed-season-13-fxx-1235076222/