TheRealRetro has ported mupen64plus-core 2.6.0 to the PS5 as a home menu app, with a dynamic recompiler, DualSense rumble and save states. Version 0.7.5 adds cheat search.
Mupen64Plus 0.7.5
The exploit, credited in press reports to Gezine, uses the physical Switch edition of Civilization VII to run code on Switch 2. It covers homebrew, mods and save copying, and 2K is reportedly pulling the cartridge.
CivSwitch
The WebKit chain that covered 13.02 to 13.52 now reaches 14.00 through a GoldHEN beta released on November 3. Sony shipped 14.02 a day later with security fixes and no public method exists for it, so stay on 14.00 or lower.
GoldHEN 14.00
Version 26.07-14.22.00 arrives less than two weeks after 14.20 with no visible changes. No 14.x firmware has a public exploit, so anyone on 13.60 or lower who wants homebrew should not update.
FW 14.22