Node process priority has no effect in 4.1-beta1

[pkdawson]

Godot version

v4.1.beta1.mono.official [828ec2c]

System information

Godot v4.1.beta1.mono - Windows 10.0.22621 - Vulkan (Forward+) - dedicated NVIDIA GeForce RTX 4070 Ti (NVIDIA; 31.0.15.3598) - 13th Gen Intel(R) Core(TM) i5-13600K (20 Threads)

Issue description

After the recent refactoring (#75901), Node process priority seems to be unimplemented. ComparatorWithPriority is no longer used anywhere in the engine code.

Nodes behave as if they all had the same priority, and running with --single-threaded-scene makes no difference.

Steps to reproduce

Run the MRP, look at the order in which the nodes print their names.

In Godot 4.0.3: First, Default, Last
In Godot 4.1-beta1: Default, First, Last

Minimal reproduction project

ProcessPriorityBug.zip