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/SegmentedControl.tsx

@@ -62,13 +62,13 @@ export function SegmentedControl<T extends string>({
           if (e.key === "ArrowRight") {
             e.preventDefault();
             const newIndex = Math.abs((selectedIndex + 1) % options.length);
-            options[newIndex] && setSelectedValue(options[newIndex].value);
+            if (options[newIndex]) { setSelectedValue(options[newIndex].value); }
             const child = containerRef.current?.children[newIndex] as HTMLButtonElement;
             child.focus();
           } else if (e.key === "ArrowLeft") {
             e.preventDefault();
             const newIndex = Math.abs((selectedIndex - 1) % options.length);
-            options[newIndex] && setSelectedValue(options[newIndex].value);
+            if (options[newIndex]) { setSelectedValue(options[newIndex].value); }
             const child = containerRef.current?.children[newIndex] as HTMLButtonElement;
             child.focus();
           }