### 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_READ_THREAD_GUARD_V(DEFAULT_CANVAS_ITEM_TEXTURE_FILTER_NEAREST);
	return default_canvas_item_texture_filter;
}
void Viewport::set_default_canvas_item_texture_repeat(DefaultCanvasItemTextureRepeat p_repeat) {
	ERR_MAIN_THREAD_GUARD;
	ERR_FAIL_INDEX(p_repeat, DEFAULT_CANVAS_ITEM_TEXTURE_REPEAT_MAX);
	if (default_canvas_item_texture_repeat == p_repeat) {
		return;
	}
	default_canvas_item_texture_repeat = p_repeat;
	switch (default_canvas_item_texture_repeat) {
		case DEFAULT_CANVAS_ITEM_TEXTURE_REPEAT_DISABLED:
			RS::get_singleton()->viewport_set_default_canvas_item_texture_repeat(viewport, RS::CANVAS_ITEM_TEXTURE_REPEAT_DISABLED);
			break;
		case DEFAULT_CANVAS_ITEM_TEXTURE_REPEAT_ENABLED:
			RS::get_singleton()->viewport_set_default_canvas_item_texture_repeat(viewport, RS::CANVAS_ITEM_TEXTURE_REPEAT_ENABLED);
			break;
		case DEFAULT_CANVAS_ITEM_TEXTURE_REPEAT_MIRROR:
			RS::get_singleton()->viewport_set_default_canvas_item_texture_repeat(viewport, RS::CANVAS_ITEM_TEXTURE_REPEAT_MIRROR);
			break;
		default: {
		}
	}
}
Viewport::DefaultCanvasItemTextureRepeat Viewport::get_default_canvas_item_texture_repeat() const {