### 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)

if (gui.drag_data.get_type() != Variant::NIL) {
								gui.mouse_focus = nullptr;
								gui.forced_mouse_focus = false;
								gui.mouse_focus_mask.clear();
								break;
							} else {
								Control *drag_preview = _gui_get_drag_preview();
								if (drag_preview) {
									ERR_PRINT("Don't set a drag preview and return null data. Preview was deleted and drag request ignored.");
									memdelete(drag_preview);
									gui.drag_preview_id = ObjectID();
								}
								gui.dragging = false;
							}
							if (control->data.mouse_filter == Control::MOUSE_FILTER_STOP) {
								break;
							}
						}
						if (ci->is_set_as_top_level()) {
							break;
						}
						ci = ci->get_parent_item();
					}
				}
				gui.drag_attempted = true;
				if (gui.dragging) {
					_propagate_viewport_notification(this, NOTIFICATION_DRAG_BEGIN);
				}
			}
		}