Retrieving and Processing User Inputs

To start of with this: CM doesn't manage user inputs. It's up to the developer to do so. Though, the most basic one is CMPlayer.is_local guarding. It typically looks like this:

func _physics_process(delta: float) -> void:
	if cm_plr.is_local:
		_process_controls(delta)

cm_plr is the variable you assigned CMPlayer to. If you haven't assigned CMPlayer to your node yet, check out this section