### 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)

Point2 click = gui.mouse_focus->get_global_transform_with_canvas().affine_inverse().xform(gui.last_mouse_pos);
		for (int i = 0; i < 3; i++) {
			if ((int)mask & (1 << i)) {
				Ref<InputEventMouseButton> mb;
				mb.instantiate();
				
				mb->set_position(click);
				mb->set_button_index(MouseButton(i + 1));
				mb->set_pressed(false);
				mb->set_device(InputEvent::DEVICE_ID_INTERNAL);
				gui.mouse_focus->_call_gui_input(mb);
			}
		}
		gui.mouse_focus = focus_grabber;
		click = gui.mouse_focus->get_global_transform_with_canvas().affine_inverse().xform(gui.last_mouse_pos);
		for (int i = 0; i < 3; i++) {
			if ((int)mask & (1 << i)) {
				Ref<InputEventMouseButton> mb;
				mb.instantiate();
				
				mb->set_position(click);
				mb->set_button_index(MouseButton(i + 1));
				mb->set_pressed(true);
				mb->set_device(InputEvent::DEVICE_ID_INTERNAL);
				MessageQueue::get_singleton()->push_callable(callable_mp(gui.mouse_focus, &Control::_call_gui_input), mb);
			}
		}
	}
}
void Viewport::push_text_input(const String &p_text) {