Make LSP update the filesystem of changed scripts

This updates global classes and exposes base member variables.
Fixes #39713

(cherry picked from commit b16bb33a5b462750c70ae1fec791dac8e50fe3ef)

modules/gdscript/language_server/gdscript_text_document.cpp

@@ -416,6 +416,7 @@ GDScriptTextDocument::~GDScriptTextDocument() {
 void GDScriptTextDocument::sync_script_content(const String &p_path, const String &p_content) {
 	String path = GDScriptLanguageProtocol::get_singleton()->get_workspace()->get_file_path(p_path);
 	GDScriptLanguageProtocol::get_singleton()->get_workspace()->parse_script(path, p_content);
+	EditorFileSystem::get_singleton()->update_file(path);
 }
 
 void GDScriptTextDocument::show_native_symbol_in_editor(const String &p_symbol_id) {