Adjust Push Notification Logic

Nucleic-Session: 0F065CD6-20FE-4941-ACF5-C57A4572A5A3
Co-authored-by: Nucleic <[email protected]>

NucleicRemote/NucleicRemote/PushRegistrar.swift

@@ -45,4 +45,20 @@ final class PushAppDelegate: NSObject, UIApplicationDelegate {
     ) {
         // Best-effort: no token → the phone still works on LAN, just no remote wake.
     }
+
+    /// Silent pushes. The relay sends a content-free `clear` (content-available) to recall the
+    /// "waiting for your approval" tickle once the approval is resolved on another device — we
+    /// wake in the background just long enough to withdraw the stale notification. Other silent
+    /// pushes (e.g. the wake tickle itself, which is an alert) don't route here.
+    func application(
+        _ application: UIApplication,
+        didReceiveRemoteNotification userInfo: [AnyHashable: Any],
+        fetchCompletionHandler completionHandler: @escaping (UIBackgroundFetchResult) -> Void
+    ) {
+        guard userInfo["clear"] != nil else { completionHandler(.noData); return }
+        Task { @MainActor in
+            NotificationRouter.shared.withdrawApprovalAttention()
+            completionHandler(.noData)
+        }
+    }
 }