### 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)

#ifndef _3D_DISABLED
	ADD_PROPERTY(PropertyInfo(Variant::BOOL, "audio_listener_enable_3d"), "set_as_audio_listener_3d", "is_audio_listener_3d");
#endif
	ADD_GROUP("Physics", "physics_");
	ADD_PROPERTY(PropertyInfo(Variant::BOOL, "physics_object_picking"), "set_physics_object_picking", "get_physics_object_picking");
	ADD_PROPERTY(PropertyInfo(Variant::BOOL, "physics_object_picking_sort"), "set_physics_object_picking_sort", "get_physics_object_picking_sort");
	ADD_GROUP("GUI", "gui_");
	ADD_PROPERTY(PropertyInfo(Variant::BOOL, "gui_disable_input"), "set_disable_input", "is_input_disabled");
	ADD_PROPERTY(PropertyInfo(Variant::BOOL, "gui_snap_controls_to_pixels"), "set_snap_controls_to_pixels", "is_snap_controls_to_pixels_enabled");
	ADD_PROPERTY(PropertyInfo(Variant::BOOL, "gui_embed_subwindows"), "set_embedding_subwindows", "is_embedding_subwindows");
	ADD_GROUP("SDF", "sdf_");
	ADD_PROPERTY(PropertyInfo(Variant::INT, "sdf_oversize", PROPERTY_HINT_ENUM, "100%,120%,150%,200%"), "set_sdf_oversize", "get_sdf_oversize");
	ADD_PROPERTY(PropertyInfo(Variant::INT, "sdf_scale", PROPERTY_HINT_ENUM, "100%,50%,25%"), "set_sdf_scale", "get_sdf_scale");
	ADD_GROUP("Positional Shadow Atlas", "positional_shadow_atlas_");
	ADD_PROPERTY(PropertyInfo(Variant::INT, "positional_shadow_atlas_size"), "set_positional_shadow_atlas_size", "get_positional_shadow_atlas_size");
	ADD_PROPERTY(PropertyInfo(Variant::BOOL, "positional_shadow_atlas_16_bits"), "set_positional_shadow_atlas_16_bits", "get_positional_shadow_atlas_16_bits");
	ADD_PROPERTYI(PropertyInfo(Variant::INT, "positional_shadow_atlas_quad_0", PROPERTY_HINT_ENUM, "Disabled,1 Shadow,4 Shadows,16 Shadows,64 Shadows,256 Shadows,1024 Shadows"), "set_positional_shadow_atlas_quadrant_subdiv", "get_positional_shadow_atlas_quadrant_subdiv", 0);
	ADD_PROPERTYI(PropertyInfo(Variant::INT, "positional_shadow_atlas_quad_1", PROPERTY_HINT_ENUM, "Disabled,1 Shadow,4 Shadows,16 Shadows,64 Shadows,256 Shadows,1024 Shadows"), "set_positional_shadow_atlas_quadrant_subdiv", "get_positional_shadow_atlas_quadrant_subdiv", 1);
	ADD_PROPERTYI(PropertyInfo(Variant::INT, "positional_shadow_atlas_quad_2", PROPERTY_HINT_ENUM, "Disabled,1 Shadow,4 Shadows,16 Shadows,64 Shadows,256 Shadows,1024 Shadows"), "set_positional_shadow_atlas_quadrant_subdiv", "get_positional_shadow_atlas_quadrant_subdiv", 2);
	ADD_PROPERTYI(PropertyInfo(Variant::INT, "positional_shadow_atlas_quad_3", PROPERTY_HINT_ENUM, "Disabled,1 Shadow,4 Shadows,16 Shadows,64 Shadows,256 Shadows,1024 Shadows"), "set_positional_shadow_atlas_quadrant_subdiv", "get_positional_shadow_atlas_quadrant_subdiv", 3);
	ADD_PROPERTY(PropertyInfo(Variant::TRANSFORM2D, "canvas_transform", PROPERTY_HINT_NONE, "", PROPERTY_USAGE_NONE), "set_canvas_transform", "get_canvas_transform");
	ADD_PROPERTY(PropertyInfo(Variant::TRANSFORM2D, "global_canvas_transform", PROPERTY_HINT_NONE, "", PROPERTY_USAGE_NONE), "set_global_canvas_transform", "get_global_canvas_transform");
	ADD_PROPERTY(PropertyInfo(Variant::INT, "canvas_cull_mask", PROPERTY_HINT_LAYERS_2D_RENDER), "set_canvas_cull_mask", "get_canvas_cull_mask");
	ADD_SIGNAL(MethodInfo("size_changed"));
	ADD_SIGNAL(MethodInfo("gui_focus_changed", PropertyInfo(Variant::OBJECT, "node", PROPERTY_HINT_RESOURCE_TYPE, "Control")));
	BIND_ENUM_CONSTANT(SHADOW_ATLAS_QUADRANT_SUBDIV_DISABLED);
	BIND_ENUM_CONSTANT(SHADOW_ATLAS_QUADRANT_SUBDIV_1);
	BIND_ENUM_CONSTANT(SHADOW_ATLAS_QUADRANT_SUBDIV_4);
	BIND_ENUM_CONSTANT(SHADOW_ATLAS_QUADRANT_SUBDIV_16);
	BIND_ENUM_CONSTANT(SHADOW_ATLAS_QUADRANT_SUBDIV_64);