### Godot version

v4.2.dev.custom_build [c3b0a92c3]

### System information

Debian Linux X11 Xfce

### Issue description

In the following scene tree it is not possible to write anything in `LineEditB`.
![image](https://github.com/godotengine/godot/assets/6299227/ce5f696a-d86a-402f-98f7-6a762f15543e)

I would expect, that it is possible to focus `LineEditB` with a mouse click and write into it.

Regression from #58334

### Steps to reproduce

1. Load and run MRP
2. Mouse Click into the left LineEditB
3. Type Keyboard => No letters appear in the LineEditB

Variant:

1. Load and run MRP
2. Mouse Click into the right LineEditA
3. Mouse Click into the left LineEditB
4. Type Keyboard => Letters appear in LineEditA instead of LineEditB


### Minimal reproduction project

[BugKeyInputRouting.zip](https://github.com/godotengine/godot/files/11994804/BugKeyInputRouting.zip)

}
	Ref<InputEventMouse> me = ev;
	if (me.is_valid()) {
		gui.last_mouse_pos = me->get_position();
	}
	if (is_embedding_subwindows() && _sub_windows_forward_input(ev)) {
		set_input_as_handled();
		return;
	}
	if (!_can_consume_input_events()) {
		return;
	}
	if (!is_input_handled()) {
		ERR_FAIL_COND(!is_inside_tree());
		get_tree()->_call_input_pause(input_group, SceneTree::CALL_INPUT_TYPE_INPUT, ev, this); 
	}
	if (!is_input_handled()) {
		ERR_FAIL_COND(!is_inside_tree());
		_gui_input_event(ev);
	} else {
		
		_gui_cleanup_internal_state(ev);
	}
	if (!is_input_handled()) {
		_push_unhandled_input_internal(ev);
	}
	event_count++;
}
#ifndef DISABLE_DEPRECATED
void Viewport::push_unhandled_input(const Ref<InputEvent> &p_event, bool p_local_coords) {