refactor(boot): register the offline-geo notice from its own helper

Keeps register() under the function-size cap; the test pins that register() still calls it.

src/instrumentation.ts

@@ -1,5 +1,20 @@
 import type { Instrumentation } from "next";
 
+/**
+ * The admin notice for a host whose login-IP lookups leave it. The geo
+ * resolver evaluates it on its first public-IP lookup; it holds a slot
+ * rather than importing the notification layer (see the notice module).
+ */
+async function registerOfflineGeoNoticeAtBoot(): Promise<void> {
+  try {
+    const { registerOfflineGeoNotice } =
+      await import("@/lib/notifications/offline-geo-notice");
+    registerOfflineGeoNotice();
+  } catch {
+    // Without it the lookups still resolve; only the notice is missing.
+  }
+}
+
 export async function register() {
   // Only start the worker on the Node.js server runtime (not Edge, not build)
   if (process.env.NEXT_RUNTIME === "nodejs") {
@@ -35,16 +50,7 @@ export async function register() {
       // A readiness summary must never break boot.
     }
 
-    // The admin notice for a host whose login-IP lookups leave it. The geo
-    // resolver evaluates it on its first public-IP lookup; it holds a slot
-    // rather than importing the notification layer (see the notice module).
-    try {
-      const { registerOfflineGeoNotice } =
-        await import("@/lib/notifications/offline-geo-notice");
-      registerOfflineGeoNotice();
-    } catch {
-      // Without it the lookups still resolve; only the notice is missing.
-    }
+    await registerOfflineGeoNoticeAtBoot();
 
     // Does the configured encryption key open this database? A process whose
     // key does not refuses every API request with one clear 503 and starts

src/lib/__tests__/geo-offline-detection.test.ts

@@ -201,6 +201,11 @@ describe("offline-geo runtime detection", () => {
     expect(boot).toMatch(
       /import\("@\/lib\/notifications\/offline-geo-notice"\)[\s\S]*registerOfflineGeoNotice\(\)/,
     );
+    // …and the helper that does it runs inside `register()`.
+    const registerBody = boot.slice(
+      boot.indexOf("export async function register()"),
+    );
+    expect(registerBody).toContain("await registerOfflineGeoNoticeAtBoot()");
   });
 
   it("offlineGeoReady() is false when the .empty marker is present", async () => {