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/responseViewers/MultipartViewer.tsx

@@ -73,7 +73,7 @@ export function MultipartViewer({ data, boundary, idPrefix = "multipart" }: Prop
     >
       {parts.map((part, i) => (
         <TabContent
-          // biome-ignore lint/suspicious/noArrayIndexKey: Nothing else to key on
+          // oxlint-disable-next-line react/no-array-index-key -- Nothing else to key on
           key={idPrefix + part.name + i}
           value={tabValue(part, i)}
           className="pl-3 !pt-0"