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/commands/commands.tsx

@@ -143,7 +143,7 @@ export const syncWorkspace = createFastMutation<
                 }
 
                 return (
-                  // biome-ignore lint/suspicious/noArrayIndexKey: none
+                  // oxlint-disable-next-line react/no-array-index-key
                   <TableRow key={i}>
                     <TableCell className="text-text-subtle">{model}</TableCell>
                     <TruncatedWideTableCell>{name}</TruncatedWideTableCell>