### Godot version

4.0.stable

### System information

Windows 10

### Issue description

The Area2D and the Area3D do not trigger the signals mouse_entered and mouse_exited if the mouse is dragging from inside a Control. But, a Control triggers the signals mouse_entered and mouse_exited when dragging from another Control.
I don't know if this is intended, or it is a bug, but I think that the two nodes should behave the same.


https://user-images.githubusercontent.com/54667250/226214034-cd57654b-3bcf-4700-8cc3-e6ce256b03df.mp4


### Steps to reproduce

Execute the project below. When hovering the "Area" and the "Control", the color_rect turns red. But if dragging from the "Drag", only the "Control" turns red.

### Minimal reproduction project

[MouseInputTest.zip](https://github.com/godotengine/godot/files/11012484/MouseInputTest.zip)

if (Object::cast_to<InputEventKey>(*p_event) != nullptr || Object::cast_to<InputEventShortcut>(*p_event) != nullptr || Object::cast_to<InputEventJoypadButton>(*p_event) != nullptr) {
		ERR_FAIL_COND(!is_inside_tree());
		get_tree()->_call_input_pause(shortcut_input_group, SceneTree::CALL_INPUT_TYPE_SHORTCUT_INPUT, p_event, this);
	}
	
	if (!is_input_handled() && (Object::cast_to<InputEventKey>(*p_event) != nullptr)) {
		ERR_FAIL_COND(!is_inside_tree());
		get_tree()->_call_input_pause(unhandled_key_input_group, SceneTree::CALL_INPUT_TYPE_UNHANDLED_KEY_INPUT, p_event, this);
	}
	
	if (!is_input_handled()) {
		ERR_FAIL_COND(!is_inside_tree());
		get_tree()->_call_input_pause(unhandled_input_group, SceneTree::CALL_INPUT_TYPE_UNHANDLED_INPUT, p_event, this);
	}
	if (physics_object_picking && !is_input_handled()) {
		if (Input::get_singleton()->get_mouse_mode() != Input::MOUSE_MODE_CAPTURED &&
				(Object::cast_to<InputEventMouse>(*p_event) ||
						Object::cast_to<InputEventScreenDrag>(*p_event) ||
						Object::cast_to<InputEventScreenTouch>(*p_event)
								)) {
			physics_picking_events.push_back(p_event);
			set_input_as_handled();
		}
	}
}
void Viewport::set_physics_object_picking(bool p_enable) {