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/scheduler.ts

@@ -1,6 +1,6 @@
 import { db } from "./db/fcmTokens.js";
 import { sendPushToDevice } from "./services/pushService.js";
-import { maskToken } from "./util/maskToken.js";
+import { errorMessage, formatElapsedMs } from "./util/formatElapsed.js";
 
 let intervalId: ReturnType<typeof setInterval> | undefined;
 
@@ -8,25 +8,52 @@ export function startScheduler(): void {
   if (intervalId !== undefined) return;
 
   intervalId = setInterval(async () => {
+    const passStarted = Date.now();
+    console.log("[Scheduler] Pass started");
+
     try {
-      console.log("[Scheduler] Checking devices...");
       const devices = await db.getAllForScheduler();
       const seenTokens = new Set<string>();
+      let checked = 0;
+      let sent = 0;
+      let skipped = 0;
+      let failed = 0;
+      let duplicates = 0;
 
       for (const d of devices) {
         if (seenTokens.has(d.fcmToken)) {
-          console.log(
-            "[Scheduler] Duplicate device skipped:",
-            d.deviceId,
-            maskToken(d.fcmToken)
-          );
+          duplicates++;
           continue;
         }
         seenTokens.add(d.fcmToken);
-        await sendPushToDevice(d.fcmToken);
+        checked++;
+
+        const result = await sendPushToDevice(d.fcmToken);
+        if (result === "sent") sent++;
+        else if (result === "skipped") skipped++;
+        else failed++;
       }
+
+      const summaryParts = [
+        `Checked ${checked} devices`,
+        `sent ${sent} pushes`,
+        `skipped ${skipped}`,
+      ];
+      if (failed > 0) summaryParts.push(`failed ${failed}`);
+      if (duplicates > 0) {
+        summaryParts.push(`${duplicates} duplicates ignored`);
+      }
+      console.log("[Scheduler]", summaryParts.join(", "));
+      console.log(
+        "[Scheduler] Pass completed in",
+        formatElapsedMs(Date.now() - passStarted)
+      );
     } catch (err) {
-      console.error("[Scheduler] Tick failed", err);
+      console.error(
+        "[Scheduler] Pass failed in",
+        formatElapsedMs(Date.now() - passStarted) + ":",
+        errorMessage(err)
+      );
     }
   }, 5 * 60 * 1000);
 }