### 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;
	WARN_DEPRECATED_MSG(R"*(The "push_unhandled_input()" method is deprecated, use "push_input()" instead.)*");
	ERR_FAIL_COND(!is_inside_tree());
	ERR_FAIL_COND(p_event.is_null());
	local_input_handled = false;
	if (disable_input || !_can_consume_input_events()) {
		return;
	}
	if (Engine::get_singleton()->is_editor_hint() && get_tree()->get_edited_scene_root() && get_tree()->get_edited_scene_root()->is_ancestor_of(this)) {
		return;
	}
	Ref<InputEvent> ev;
	if (!p_local_coords) {
		ev = _make_input_local(p_event);
	} else {
		ev = p_event;
	}
	_push_unhandled_input_internal(ev);
}
#endif 
void Viewport::_push_unhandled_input_internal(const Ref<InputEvent> &p_event) {