inspector: Remove some dead code
inspector: Remove some dead code

Since commit bffeae6203ffe5ea91988d4439571568abc95ab7, the
tree path is not used for anything useful anymore, so do away
with it entirely.

grubersjoe/adwaita,grubersjoe/adwaita,grubersjoe/adwaita,grubersjoe/adwaita,grubersjoe/adwaita,grubersjoe/adwaita,grubersjoe/adwaita,grubersjoe/adwaita