### Godot version

v4.1.stable.official [970459615]

### System information

Godot v4.1.stable - Windows 10.0.22621 - Vulkan (Forward+) - dedicated NVIDIA GeForce GTX 1660 Ti (NVIDIA; 31.0.15.3598) - AMD Ryzen 7 3700X 8-Core Processor (16 Threads)

### Issue description

is_input_handled() is returning True, even though set_input_as_handled() has not been called.

Example:
`func _input_event(viewport, event, shape_idx):
	print(viewport.is_input_handled())`

Returns 'True', should return 'False'

### Steps to reproduce

1. Create a new project and add a Node2D as the root
2. Add a child Area2D node containing a CollisionShape2D and a Sprite2D
3. Either create the _input_event(viewport, event, shape_idx) or connect _on_input_event(viewport, event, shape_idx)
4. Print viewport.is_input_handled()
5. True is printed.

### Minimal reproduction project

[input_test.zip](https://github.com/godotengine/godot/files/12063748/input_test.zip)

}
	if (Object::cast_to<Window>(this) && Input::get_singleton()->get_mouse_mode() == Input::MOUSE_MODE_CAPTURED) {
		return;
	}
	if (!gui.mouse_in_viewport) {
		
		physics_picking_events.clear();
		return;
	}
	_drop_physics_mouseover(true);
#ifndef _3D_DISABLED
	Vector2 last_pos(1e20, 1e20);
	CollisionObject3D *last_object = nullptr;
	ObjectID last_id;
	PhysicsDirectSpaceState3D::RayResult result;
#endif 
	PhysicsDirectSpaceState2D *ss2d = PhysicsServer2D::get_singleton()->space_get_direct_state(find_world_2d()->get_space());
	bool has_mouse_event = false;
	for (const Ref<InputEvent> &e : physics_picking_events) {
		Ref<InputEventMouse> m = e;
		if (m.is_valid()) {
			has_mouse_event = true;
			break;
		}
	}
	if (!has_mouse_event) {
		
		
		
		Ref<InputEventMouseMotion> mm;