diff --git a/src/components/insights/__tests__/ai-setup-hint-target.test.tsx b/src/components/insights/__tests__/ai-setup-hint-target.test.tsx
new file mode 100644
index 000000000..6e06357f6
--- /dev/null
+++ b/src/components/insights/__tests__/ai-setup-hint-target.test.tsx
@@ -0,0 +1,48 @@
+/**
+ * The overview's setup hint closes with an icon button in its header. On a
+ * phone it is the only control on the tile a thumb has to hit, so it carries
+ * the 44 px floor every other mobile action does (`size-11`), stepping down
+ * from `sm` like the rest of the app.
+ */
+import { renderToStaticMarkup } from "react-dom/server";
+import { describe, expect, it, vi } from "vitest";
+
+vi.mock("@/hooks/use-auth", () => ({
+  useAuth: () => ({ user: { id: "u1" }, isAuthenticated: true }),
+}));
+vi.mock("@/hooks/use-mounted", () => ({ useMounted: () => true }));
+vi.mock("@/hooks/use-ai-capability", () => ({
+  useAiProviderState: () => ({
+    configured: false,
+    managedBy: null,
+    canConfigure: true,
+  }),
+}));
+
+import { I18nProvider } from "@/lib/i18n/context";
+import { AiSetupHint } from "../ai-setup-hint";
+
+function dismissButton(): string {
+  vi.stubGlobal("window", {
+    localStorage: { getItem: () => null, setItem: () => undefined },
+  });
+  const html = renderToStaticMarkup(
+    <I18nProvider initialLocale="en">
+      <AiSetupHint surface="insights" />
+    </I18nProvider>,
+  );
+  vi.unstubAllGlobals();
+  const match = html.match(
+    /<button[^>]*data-slot="ai-setup-hint-dismiss"[^>]*>/,
+  );
+  expect(match).not.toBeNull();
+  return match![0];
+}
+
+describe("the setup hint's dismiss button", () => {
+  it("is at least 44 px on a phone", () => {
+    const button = dismissButton();
+    const cls = button.match(/class="([^"]*)"/)![1]!.split(/\s+/);
+    expect(cls).toContain("size-11");
+  });
+});
diff --git a/src/components/insights/ai-setup-hint.tsx b/src/components/insights/ai-setup-hint.tsx
index 6e6ea316c..cf4f3e008 100644
--- a/src/components/insights/ai-setup-hint.tsx
+++ b/src/components/insights/ai-setup-hint.tsx
@@ -115,7 +115,9 @@ export function AiSetupHint({
               aria-label={t("insights.aiSetupHint.dismiss")}
               title={t("insights.aiSetupHint.dismiss")}
               data-slot="ai-setup-hint-dismiss"
-              className="-my-2 shrink-0"
+              // 44 px on a phone like every other mobile action; the negative
+              // margin keeps the header row as tall as the title needs.
+              className="-my-2.5 size-11 shrink-0 sm:-my-2 sm:size-10"
             >
               <X className="size-4" aria-hidden="true" />
             </Button>