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-proxy/lib/fireAndForget.ts

@@ -0,0 +1,5 @@
+export function fireAndForget(promise: Promise<unknown>) {
+  promise.catch((err: unknown) => {
+    console.error("Unhandled async error:", err);
+  });
+}