### 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)

ERR_MAIN_THREAD_GUARD;
	bool request_update = gui.canvas_parents_with_dirty_order.is_empty();
	gui.canvas_parents_with_dirty_order.insert(p_node->get_instance_id());
	if (request_update) {
		MessageQueue::get_singleton()->push_callable(callable_mp(this, &Viewport::_process_dirty_canvas_parent_orders));
	}
}
void Viewport::_update_audio_listener_2d() {
	if (AudioServer::get_singleton()) {
		AudioServer::get_singleton()->notify_listener_changed();
	}
}
void Viewport::set_as_audio_listener_2d(bool p_enable) {
	ERR_MAIN_THREAD_GUARD;
	if (p_enable == is_audio_listener_2d_enabled) {
		return;
	}
	is_audio_listener_2d_enabled = p_enable;
	_update_audio_listener_2d();
}
bool Viewport::is_audio_listener_2d() const {
	ERR_READ_THREAD_GUARD_V(false);
	return is_audio_listener_2d_enabled;
}
AudioListener2D *Viewport::get_audio_listener_2d() const {
	ERR_READ_THREAD_GUARD_V(nullptr);
	return audio_listener_2d;
}
void Viewport::enable_canvas_transform_override(bool p_enable) {