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/run-workspaces-dev.mjs

@@ -56,7 +56,7 @@ for (const ws of workspacesWithDev) {
 
 // Cleanup function to kill all children
 function cleanup() {
-  for (const { ws, child } of children) {
+  for (const { ws: _ws, child } of children) {
     if (child.exitCode === null) {
       // Process still running
       if (process.platform === "win32") {