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No clue why it isn’t on there, but bsnes is available as part of higan, ares (kinda?), standalone, or as one of many bsnes RetroArch cores (bsnes-mercury is generally the most recommended from my experience).
ETA: If you’re not into RetroArch, I’d highly recommend ares.
I know the Fate games are available on GOG and therefore would be on gog-games. Considering the nature of their games, it might be difficult to find them, so you might have to comb through the available sites. Maybe also check archive.org?