Remove fix leftover that caused cyclic load issues

[adamscott]

This PR removes an attempt that was leftover in the #67714 PR which was merged a few hours ago.

The code removed was causing issues like this one:

Loading resource: res://Nodes/Technical/Jukebox.tscn
ERROR: Another resource is loaded from path 'res://Nodes/Technical/Jukebox.tscn::1' (possible cyclic resource inclusion).
   at: set_path (core/io/resource.cpp:75)
ERROR: Another resource is loaded from path 'res://Nodes/Technical/Jukebox.tscn::2' (possible cyclic resource inclusion).
   at: set_path (core/io/resource.cpp:75)
ERROR: Another resource is loaded from path 'res://Nodes/Technical/Jukebox.tscn::3' (possible cyclic resource inclusion).
   at: set_path (core/io/resource.cpp:75)
ERROR: Another resource is loaded from path 'res://Nodes/Technical/Jukebox.tscn::4' (possible cyclic resource inclusion).
   at: set_path (core/io/resource.cpp:75)
ERROR: Another resource is loaded from path 'res://Nodes/Technical/Jukebox.tscn::5' (possible cyclic resource inclusion).
   at: set_path (core/io/resource.cpp:75)
ERROR: Another resource is loaded from path 'res://Nodes/Technical/Jukebox.tscn::6' (possible cyclic resource inclusion).
   at: set_path (core/io/resource.cpp:75)
ERROR: Another resource is loaded from path 'res://Nodes/Technical/Jukebox.tscn::AnimationLibrary_3jtqj' (possible cyclic resource inclusion).
   at: set_path (core/io/resource.cpp:75)

It was an attempt to fix- #61386.

[Chaosus]

Thanks!