Refine ChatGPT setup and model provider settings

components/settings/agent-section.tsx

@@ -72,6 +72,7 @@ import { prettyModel } from "@/components/usage-format";
 import { cn } from "@/lib/utils";
 import { SettingsGroup, SettingsRow, Toggle, CommitInput } from "./controls.tsx";
 import { ModelMenuList, ThinkingMenuList } from "./model-menu";
+import { ChatGPTBackgroundAccess } from "./chatgpt-connection";
 
 /** One slot's display identity — the tier's roster as the row hint rides
  *  with the resolved default (owner: the hint ALWAYS names the default). */
@@ -647,6 +648,7 @@ export function AgentSection({
 								ref={thisMenuOpen ? menuAnchorRef : undefined}
 								className="relative flex items-center gap-2"
 							>
+								{slot !== "strong" && <ChatGPTBackgroundAccess provider={coord?.provider} />}
 								<MenuTrigger
 									value={modelId ? prettyModel(modelId) : ""}
 									emptyLabel="—"