fix(gateway): avoid stale running status from Windows Scheduled Task (openclaw#19504) thanks @Fologan

Verified:
- pnpm vitest src/daemon/schtasks.test.ts
- pnpm check
- pnpm build

Co-authored-by: Fologan <164580328+Fologan@users.noreply.github.com>
Co-authored-by: Tak Hoffman <781889+Takhoffman@users.noreply.github.com>

src/daemon/schtasks.test.ts

@@ -2,7 +2,12 @@ import fs from "node:fs/promises";
 import os from "node:os";
 import path from "node:path";
 import { describe, expect, it } from "vitest";
-import { parseSchtasksQuery, readScheduledTaskCommand, resolveTaskScriptPath } from "./schtasks.js";
+import {
+  deriveScheduledTaskRuntimeStatus,
+  parseSchtasksQuery,
+  readScheduledTaskCommand,
+  resolveTaskScriptPath,
+} from "./schtasks.js";
 
 describe("schtasks runtime parsing", () => {
   it.each(["Ready", "Running"])("parses %s status", (status) => {
@@ -20,6 +25,46 @@ describe("schtasks runtime parsing", () => {
   });
 });
 
+describe("scheduled task runtime derivation", () => {
+  it("treats Running + 0x41301 as running", () => {
+    expect(
+      deriveScheduledTaskRuntimeStatus({
+        status: "Running",
+        lastRunResult: "0x41301",
+      }),
+    ).toEqual({ status: "running" });
+  });
+
+  it("treats Running + decimal 267009 as running", () => {
+    expect(
+      deriveScheduledTaskRuntimeStatus({
+        status: "Running",
+        lastRunResult: "267009",
+      }),
+    ).toEqual({ status: "running" });
+  });
+
+  it("treats Running without last result as running", () => {
+    expect(
+      deriveScheduledTaskRuntimeStatus({
+        status: "Running",
+      }),
+    ).toEqual({ status: "running" });
+  });
+
+  it("downgrades stale Running status when last result is not a running code", () => {
+    expect(
+      deriveScheduledTaskRuntimeStatus({
+        status: "Running",
+        lastRunResult: "0x0",
+      }),
+    ).toEqual({
+      status: "stopped",
+      detail: "Task reports Running but Last Run Result=0x0; treating as stale runtime state.",
+    });
+  });
+});
+
 describe("resolveTaskScriptPath", () => {
   it.each([
     {