### Apache Airflow version

main (development)

### What happened

When dag processor starts with a sub directory to process then the import errors are recorded with that path. So when there is processor for airflow-dag-processor-0 folder in order to remove import errors it lists all files under airflow-dag-processor-0 folder and deletes those not present. This becomes an issue when there is airflow-dag-processor-1 that records import errors whose files won't be part of airflow-dag-processor-0 folder. 

### What you think should happen instead

The fix would be to have processor_subdir stored in ImportError table so that during querying we only look at import errors relevant to the dag processor and don't delete other items. A fix similar to https://github.com/apache/airflow/pull/33357 needs to be applied for import errors as well.

### How to reproduce

1. create a dag file with import error at `~/airflow/dags/airflow-dag-processor-0/sample_sleep.py` . Start a dag processor with -S to process "~/airflow/dags/airflow-dag-processor-0/" . Import error should be present.
2. create a dag file with import error at `~/airflow/dags/airflow-dag-processor-1/sample_sleep.py` . Start a dag processor with -S to process "~/airflow/dags/airflow-dag-processor-1/". Import error for airflow-dag-processor-0 is deleted.
3. 

```python
from datetime import datetime, timedelta

from airflow import DAG
from airflow.decorators import task

from datetime import timedelta, invalid


with DAG(
    dag_id="task_duration",
    start_date=datetime(2023, 1, 1),
    catchup=True,
    schedule_interval="@daily",
) as dag:

    @task
    def sleeper():
        pass

    sleeper()
```

### Operating System

Ubuntu

### Versions of Apache Airflow Providers

_No response_

### Deployment

Virtualenv installation

### 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)

stat = DagFileStat(
                    num_dags=0,
                    import_errors=1,
                    last_finish_time=now,
                    last_duration=duration,
                    run_count=self.get_run_count(file_path) + 1,
                )
                self._file_stats[processor.file_path] = stat
        
        for proc in processors_to_remove:
            self._processors.pop(proc)
    def _add_paths_to_queue(self, file_paths_to_enqueue: list[str], add_at_front: bool):
        """Add stuff to the back or front of the file queue, unless it's already present."""
        new_file_paths = list(p for p in file_paths_to_enqueue if p not in self._file_path_queue)
        if add_at_front:
            self._file_path_queue.extendleft(new_file_paths)
        else:
            self._file_path_queue.extend(new_file_paths)
        Stats.gauge("dag_processing.file_path_queue_size", len(self._file_path_queue))
    def max_runs_reached(self):
        """:return: whether all file paths have been processed max_runs times."""
        if self._max_runs == -1:  
            return False
        for stat in self._file_stats.values():
            if stat.run_count < self._max_runs:
                return False
        if self._num_run < self._max_runs:
            return False
        return True
    def terminate(self):