Heartbeat: inject cron-style current time into prompts (#13733)

* Heartbeat: inject cron-style current time into prompts

* Tests: fix type for web heartbeat timestamp test

* Infra: inline heartbeat current-time injection

src/infra/heartbeat-runner.returns-default-unset.test.ts

@@ -493,13 +493,11 @@ describe("runHeartbeatOnce", () => {
           2,
         ),
       );
-
       replySpy.mockResolvedValue([{ text: "Final alert" }]);
       const sendWhatsApp = vi.fn().mockResolvedValue({
         messageId: "m1",
         toJid: "jid",
       });
-
       await runHeartbeatOnce({
         cfg,
         agentId: "ops",
@@ -511,11 +509,13 @@ describe("runHeartbeatOnce", () => {
           hasActiveWebListener: () => true,
         },
       });
-
       expect(sendWhatsApp).toHaveBeenCalledTimes(1);
       expect(sendWhatsApp).toHaveBeenCalledWith("+1555", "Final alert", expect.any(Object));
       expect(replySpy).toHaveBeenCalledWith(
-        expect.objectContaining({ Body: "Ops check", SessionKey: sessionKey }),
+        expect.objectContaining({
+          Body: expect.stringMatching(/Ops check[\s\S]*Current time: /),
+          SessionKey: sessionKey,
+        }),
         { isHeartbeat: true },
         cfg,
       );

src/infra/heartbeat-runner.ts

@@ -10,6 +10,7 @@ import {
   resolveAgentWorkspaceDir,
   resolveDefaultAgentId,
 } from "../agents/agent-scope.js";
+import { appendCronStyleCurrentTimeLine } from "../agents/current-time.js";
 import { resolveUserTimezone } from "../agents/date-time.js";
 import { resolveEffectiveMessagesConfig } from "../agents/identity.js";
 import { DEFAULT_HEARTBEAT_FILENAME } from "../agents/workspace.js";
@@ -582,14 +583,13 @@ export async function runHeartbeatOnce(opts: {
   const pendingEvents = isExecEvent || isCronEvent ? peekSystemEvents(sessionKey) : [];
   const hasExecCompletion = pendingEvents.some((evt) => evt.includes("Exec finished"));
   const hasCronEvents = isCronEvent && pendingEvents.length > 0;
-
   const prompt = hasExecCompletion
     ? EXEC_EVENT_PROMPT
     : hasCronEvents
       ? CRON_EVENT_PROMPT
       : resolveHeartbeatPrompt(cfg, heartbeat);
   const ctx = {
-    Body: prompt,
+    Body: appendCronStyleCurrentTimeLine(prompt, cfg, startedAt),
     From: sender,
     To: sender,
     Provider: hasExecCompletion ? "exec-event" : hasCronEvents ? "cron-event" : "heartbeat",