### Godot version

v4.2.dev3.mono.official [013e8e3af]

### System information

Godot v4.2.dev3.mono - Windows 10.0.22621 - Vulkan (Forward+) - dedicated NVIDIA GeForce RTX 3050 Ti Laptop GPU (NVIDIA; 31.0.15.3598) - AMD Ryzen 7 5800H with Radeon Graphics (16 Threads)

### Issue description

When creating and attaching a built-in script to any type of node, trying to drag nodes from the scene-tree results in an error that appears at the bottom-right of the editor, but not in the console window. The error states:

`Can't drop nodes because script 'xxxxxxxx::xxxxxxx' does not inherit Node.`
 Even though the script clearly extends Node or any other type.

### Steps to reproduce

1. Create and add any node type to the scene tree.
2. Attach a new script, choose Built-in from the dialog.
3. Save the scene first, as at the time of writing, Godot suffers from a bug that causes it to crash if the scene was not saved first.
4. Try dragging or even ctrl-dragging a node to the script.
5. Observe the error appear at the bottom-right in a yellow-accent pop-up.
6. Nod and confirm that the bug exists.


### Minimal reproduction project

[can't drag nodes into built-in scripts.zip](https://github.com/godotengine/godot/files/12511196/can.t.drag.nodes.into.built-in.scripts.zip)

Loose files in the archive. Extract into their own folder.
ScriptServer::get_language(m)->get_recognized_extensions(&extensions);
			}
			for (const String &E : extensions) {
				if (E.nocasecmp_to(extension) == 0) {
					path = path.get_basename() + selected_ext;
					_path_changed(path);
					break;
				}
			}
		}
	} else {
		path = "class" + selected_ext;
		_path_changed(path);
	}
	file_path->set_text(path);
	EditorSettings::get_singleton()->set_project_metadata("script_setup", "last_selected_language", language_menu->get_item_text(language_menu->get_selected()));
	_parent_name_changed(parent_name->get_text());
	validation_panel->update();
}
void ScriptCreateDialog::_built_in_pressed() {
	if (internal->is_pressed()) {
		is_built_in = true;
		is_new_script_created = true;
	} else {
		is_built_in = false;
		_path_changed(file_path->get_text());
	}
	validation_panel->update();
}
void ScriptCreateDialog::_use_template_pressed() {