### 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;
	switch (p_what) {
		case NOTIFICATION_ENTER_TREE: {
			_update_viewport_path();
			if (get_parent()) {
				parent = get_parent()->get_viewport();
				RenderingServer::get_singleton()->viewport_set_parent_viewport(viewport, parent->get_viewport_rid());
			} else {
				parent = nullptr;
			}
			current_canvas = find_world_2d()->get_canvas();
			RenderingServer::get_singleton()->viewport_attach_canvas(viewport, current_canvas);
			RenderingServer::get_singleton()->viewport_set_canvas_transform(viewport, current_canvas, canvas_transform);
			RenderingServer::get_singleton()->viewport_set_canvas_cull_mask(viewport, canvas_cull_mask);
			_update_audio_listener_2d();
#ifndef _3D_DISABLED
			RenderingServer::get_singleton()->viewport_set_scenario(viewport, find_world_3d()->get_scenario());
			_update_audio_listener_3d();
#endif 
			add_to_group("_viewports");
			if (get_tree()->is_debugging_collisions_hint()) {
				PhysicsServer2D::get_singleton()->space_set_debug_contacts(find_world_2d()->get_space(), get_tree()->get_collision_debug_contact_count());
				contact_2d_debug = RenderingServer::get_singleton()->canvas_item_create();
				RenderingServer::get_singleton()->canvas_item_set_parent(contact_2d_debug, current_canvas);
#ifndef _3D_DISABLED
				PhysicsServer3D::get_singleton()->space_set_debug_contacts(find_world_3d()->get_space(), get_tree()->get_collision_debug_contact_count());