### 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)

ClassDB::bind_method(D_METHOD("_process_picking"), &Viewport::_process_picking);
#ifndef _3D_DISABLED
	ClassDB::bind_method(D_METHOD("set_world_3d", "world_3d"), &Viewport::set_world_3d);
	ClassDB::bind_method(D_METHOD("get_world_3d"), &Viewport::get_world_3d);
	ClassDB::bind_method(D_METHOD("find_world_3d"), &Viewport::find_world_3d);
	ClassDB::bind_method(D_METHOD("set_use_own_world_3d", "enable"), &Viewport::set_use_own_world_3d);
	ClassDB::bind_method(D_METHOD("is_using_own_world_3d"), &Viewport::is_using_own_world_3d);
	ClassDB::bind_method(D_METHOD("get_camera_3d"), &Viewport::get_camera_3d);
	ClassDB::bind_method(D_METHOD("set_as_audio_listener_3d", "enable"), &Viewport::set_as_audio_listener_3d);
	ClassDB::bind_method(D_METHOD("is_audio_listener_3d"), &Viewport::is_audio_listener_3d);
	ClassDB::bind_method(D_METHOD("set_disable_3d", "disable"), &Viewport::set_disable_3d);
	ClassDB::bind_method(D_METHOD("is_3d_disabled"), &Viewport::is_3d_disabled);
	ClassDB::bind_method(D_METHOD("set_use_xr", "use"), &Viewport::set_use_xr);
	ClassDB::bind_method(D_METHOD("is_using_xr"), &Viewport::is_using_xr);
	ClassDB::bind_method(D_METHOD("set_scaling_3d_mode", "scaling_3d_mode"), &Viewport::set_scaling_3d_mode);
	ClassDB::bind_method(D_METHOD("get_scaling_3d_mode"), &Viewport::get_scaling_3d_mode);
	ClassDB::bind_method(D_METHOD("set_scaling_3d_scale", "scale"), &Viewport::set_scaling_3d_scale);
	ClassDB::bind_method(D_METHOD("get_scaling_3d_scale"), &Viewport::get_scaling_3d_scale);
	ClassDB::bind_method(D_METHOD("set_fsr_sharpness", "fsr_sharpness"), &Viewport::set_fsr_sharpness);
	ClassDB::bind_method(D_METHOD("get_fsr_sharpness"), &Viewport::get_fsr_sharpness);
	ClassDB::bind_method(D_METHOD("set_texture_mipmap_bias", "texture_mipmap_bias"), &Viewport::set_texture_mipmap_bias);
	ClassDB::bind_method(D_METHOD("get_texture_mipmap_bias"), &Viewport::get_texture_mipmap_bias);
	ClassDB::bind_method(D_METHOD("set_vrs_mode", "mode"), &Viewport::set_vrs_mode);
	ClassDB::bind_method(D_METHOD("get_vrs_mode"), &Viewport::get_vrs_mode);
	ClassDB::bind_method(D_METHOD("set_vrs_texture", "texture"), &Viewport::set_vrs_texture);
	ClassDB::bind_method(D_METHOD("get_vrs_texture"), &Viewport::get_vrs_texture);
	ADD_PROPERTY(PropertyInfo(Variant::BOOL, "disable_3d"), "set_disable_3d", "is_3d_disabled");
	ADD_PROPERTY(PropertyInfo(Variant::BOOL, "use_xr"), "set_use_xr", "is_using_xr");
	ADD_PROPERTY(PropertyInfo(Variant::BOOL, "own_world_3d"), "set_use_own_world_3d", "is_using_own_world_3d");
	ADD_PROPERTY(PropertyInfo(Variant::OBJECT, "world_3d", PROPERTY_HINT_RESOURCE_TYPE, "World3D"), "set_world_3d", "get_world_3d");