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/package.json

@@ -48,6 +48,7 @@
     "eventemitter3": "^5.0.1",
     "focus-trap-react": "^11.0.4",
     "fuzzbunny": "^1.0.1",
+    "graphql": "^16.13.1",
     "hexy": "^0.3.5",
     "history": "^5.3.0",
     "jotai": "^2.18.0",