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>

crates/yaak-sync/index.ts

@@ -39,7 +39,7 @@ export function watchWorkspaceFiles(
     channel,
   });
 
-  unlistenPromise.then(({ unlistenEvent }) => {
+  void unlistenPromise.then(({ unlistenEvent }) => {
     addWatchKey(unlistenEvent);
   });
 
@@ -53,7 +53,7 @@ export function watchWorkspaceFiles(
 }
 
 function unlistenToWatcher(unlistenEvent: string) {
-  emit(unlistenEvent).then(() => {
+  void emit(unlistenEvent).then(() => {
     removeWatchKey(unlistenEvent);
   });
 }