Brave Browser logs to %LOCALAPPDATA%\BraveSoftware\Brave-Browser\User Data\chrome_debug.log on Windows.
Brave Browser logs to ~/.config/BraveSoftware/Brave-Browser/chrome_debug.log on Linux.
Paths are printed exactly as Brave Browser writes them. Environment variables like %LOCALAPPDATA% and $XDG_STATE_HOME are never expanded, so a path can be pasted straight into a shell. Where a path differs between installer types or shipping flavours, each one is racked as its own card below - why that happens.