chore(logging): normalize wakeup flow observability with timings and summaries

Standardize console prefixes across scheduler, push, refresh, register,
auth, and debug endpoints. Add pass-level scheduler summaries, elapsed-time
logs, and masked-token-only push failure messages while reducing per-device
noise in scheduler loops.

src/services/pushService.ts

@@ -1,4 +1,5 @@
 import { db, type StoredRow } from "../db/fcmTokens.js";
+import { errorMessage, formatElapsedMs } from "../util/formatElapsed.js";
 import { maskToken } from "../util/maskToken.js";
 import { messaging } from "./firebase.js";
 
@@ -46,6 +47,7 @@ export async function sendPushToDevice(
   fcmToken: string,
   payload: Record<string, unknown> = {}
 ): Promise<"sent" | "skipped" | "failed"> {
+  const suffix = maskToken(fcmToken);
   const row = await db.getByFcmToken(fcmToken);
   const now = Date.now();
   const last = lastNotifiedMs(row);
@@ -54,23 +56,20 @@ export async function sendPushToDevice(
     last !== undefined &&
     now - last < notifyThresholdMs(row?.testMode)
   ) {
-    const device = { id: row?.id ?? "unknown" };
-    console.log("[Skip] Recently notified:", device.id);
     return "skipped";
   }
 
+  const sendStarted = Date.now();
+  console.log("[Push] Send attempt, token suffix:", suffix);
+
   try {
-    const device = { fcmToken };
     const data: Record<string, string> = {
       ...stringifyData(payload),
       type: "WAKEUP_PING",
     };
 
-    const token = maskToken(fcmToken);
-    console.log("[Push] Sending to:", token);
-
     await messaging.send({
-      token: device.fcmToken,
+      token: fcmToken,
       apns: {
         headers: {
           "apns-push-type": "background",
@@ -89,10 +88,21 @@ export async function sendPushToDevice(
     if (persisted !== undefined) {
       await db.update(persisted.id, { lastNotifiedAt: Date.now() });
     }
-    console.log("[Push] Success:", token);
+    console.log(
+      "[Push] Send completed in",
+      formatElapsedMs(Date.now() - sendStarted) + ",",
+      "token suffix:",
+      suffix
+    );
     return "sent";
   } catch (err) {
-    console.error("[Push] Failed:", err);
+    console.error(
+      "[Push] Send failed in",
+      formatElapsedMs(Date.now() - sendStarted) + ",",
+      "token suffix:",
+      suffix + ":",
+      errorMessage(err)
+    );
     return "failed";
   }
 }