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/components/core/PairEditor.tsx

@@ -144,7 +144,7 @@ export function PairEditor({
     [handle, pairs, setRef],
   );
 
-  // biome-ignore lint/correctness/useExhaustiveDependencies: Only care about forceUpdateKey
+  // oxlint-disable-next-line react-hooks/exhaustive-deps -- Only care about forceUpdateKey
   useEffect(() => {
     // Remove empty headers on initial render and ensure they all have valid ids (pairs didn't use to have IDs)
     const newPairs: PairWithId[] = [];