Align lint fixes with main and resolve merge conflicts

- Convert biome-ignore to oxlint-disable-next-line across client app
- Fix no-base-to-string with type narrowing instead of suppressions
- Fix no-floating-promises with fireAndForget() in proxy app
- Fix restrict-template-expressions with String() wrapping
- Resolve leftover merge conflict markers in manager.rs
- Remove duplicate cmd_plugin_init_errors from lib.rs
- Add graphql as explicit dependency in yaak-client

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

apps/yaak-client/lib/initGlobalListeners.tsx

@@ -36,7 +36,7 @@ export function initGlobalListeners() {
   });
 
   // Show errors for any plugins that failed to load during startup
-  invokeCmd<[string, string][]>("cmd_plugin_init_errors").then((errors) => {
+  void invokeCmd<[string, string][]>("cmd_plugin_init_errors").then((errors) => {
     for (const [dir, err] of errors) {
       const name = dir.split(/[/\\]/).pop() ?? dir;
       showToast({
@@ -93,7 +93,7 @@ export function initGlobalListeners() {
             done,
           },
         };
-        emit(event.id, result);
+        void emit(event.id, result);
       };
 
       const values = await showPromptForm({
@@ -122,7 +122,7 @@ export function initGlobalListeners() {
   // Listen for update events
   listenToTauriEvent<UpdateInfo>("update_available", async ({ payload }) => {
     console.log("Got update available", payload);
-    showUpdateAvailableToast(payload);
+    void showUpdateAvailableToast(payload);
   });
 
   listenToTauriEvent<YaakNotification>("notification", ({ payload }) => {