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>

scripts/vendor-node.cjs

@@ -107,7 +107,7 @@ rmSync(tmpDir, { recursive: true, force: true });
 function tryExecSync(cmd) {
   try {
     return execSync(cmd, { stdio: "pipe" }).toString("utf-8");
-  } catch (_) {
+  } catch {
     return "";
   }
 }