### 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)

"""
        Enqueues TaskInstances for execution.
        There are three steps:
        1. Pick TIs by priority with the constraint that they are in the expected states
        and that we do exceed max_active_runs or pool limits.
        2. Change the state for the TIs above atomically.
        3. Enqueue the TIs in the executor.
        HA note: This function is a "critical section" meaning that only a single executor process can execute
        this function at the same time. This is achieved by doing ``SELECT ... from pool FOR UPDATE``. For DBs
        that support NOWAIT, a "blocked" scheduler will skip this and continue on with other tasks (creating
        new DAG runs, progressing TIs from None to SCHEDULED etc.); DBs that don't support this (such as
        MariaDB or MySQL 5.x) the other schedulers will wait for the lock before continuing.
        :param session:
        :return: Number of task instance with state changed.
        """
        if self.job.max_tis_per_query == 0:
            max_tis = self.job.executor.slots_available
        else:
            max_tis = min(self.job.max_tis_per_query, self.job.executor.slots_available)
        queued_tis = self._executable_task_instances_to_queued(max_tis, session=session)
        self._enqueue_task_instances_with_queued_state(queued_tis, session=session)
        return len(queued_tis)
    def _process_executor_events(self, session: Session) -> int: