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/DetailsBanner.tsx

@@ -22,7 +22,7 @@ export function DetailsBanner({
   storageKey,
   ...extraProps
 }: Props) {
-  // biome-ignore lint/correctness/useExhaustiveDependencies: We only want to recompute the atom when storageKey changes
+  // oxlint-disable-next-line react-hooks/exhaustive-deps -- We only want to recompute the atom when storageKey changes
   const openAtom = useMemo(
     () =>
       storageKey