Jamf Connect logs to log show --predicate 'subsystem == "com.jamf.connect"' --debug on macOS. 1 other macOS log location is recorded below.
Paths are printed exactly as Jamf Connect 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.