### 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)

} else {
				last_id = physics_object_capture;
				last_object = capture_object;
			}
		}
		if (pos == last_pos) {
			if (last_id.is_valid()) {
				if (ObjectDB::get_instance(last_id) && last_object) {
					
					_collision_object_3d_input_event(last_object, camera_3d, ev, result.position, result.normal, result.shape);
					if (last_object->get_capture_input_on_drag() && mb.is_valid() && mb->get_button_index() == MouseButton::LEFT && mb->is_pressed()) {
						physics_object_capture = last_id;
					}
				}
			}
		} else {
			if (camera_3d) {
				Vector3 from = camera_3d->project_ray_origin(pos);
				Vector3 dir = camera_3d->project_ray_normal(pos);
				real_t far = camera_3d->far;
				PhysicsDirectSpaceState3D *space = PhysicsServer3D::get_singleton()->space_get_direct_state(find_world_3d()->get_space());
				if (space) {
					PhysicsDirectSpaceState3D::RayParameters ray_params;
					ray_params.from = from;
					ray_params.to = from + dir * far;
					ray_params.collide_with_areas = true;
					ray_params.pick_ray = true;
					bool col = space->intersect_ray(ray_params, result);
					ObjectID new_collider;
					CollisionObject3D *co = col ? Object::cast_to<CollisionObject3D>(result.collider) : nullptr;