### Apache Airflow version

2.5.1

### What happened

I'd expect the `scheduler.tasks.running` metric to represent the number of running tasks, but it is always zero. It appears that #10956 broke this when it removed [the line that increments `num_tasks_in_executor`](https://github.com/apache/airflow/pull/10956/files#diff-bde85feb359b12bdd358aed4106ef4fccbd8fa9915e16b9abb7502912a1c1ab3L1363). Right now that variable is set to 0, never incremented, and the emitted as a gauge.

### What you think should happen instead

`scheduler.tasks.running` should either represent the number of tasks running or be removed altogether.

### How to reproduce

_No response_

### Operating System

Ubuntu 18.04

### Versions of Apache Airflow Providers

_No response_

### Deployment

Official Apache Airflow Helm Chart

### Deployment details

_No response_

### Anything else

_No response_

### Are you willing to submit PR?

- [X] Yes I am willing to submit a PR!

### Code of Conduct

- [X] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)

Stats.incr("scheduler_heartbeat", 1, 1)
    def register_signals(self) -> None:
        """Register signals that stop child processes."""
        signal.signal(signal.SIGINT, self._exit_gracefully)
        signal.signal(signal.SIGTERM, self._exit_gracefully)
        signal.signal(signal.SIGUSR2, self._debug_dump)
    def _exit_gracefully(self, signum: int, frame: FrameType | None) -> None:
        """Helper method to clean up processor_agent to avoid leaving orphan processes."""
        if not _is_parent_process():
            
            return
        self.log.info("Exiting gracefully upon receiving signal %s", signum)
        if self.processor_agent:
            self.processor_agent.end()
        sys.exit(os.EX_OK)
    def _debug_dump(self, signum: int, frame: FrameType | None) -> None: