### 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)

from airflow.models.dagrun import DagRun
    metadata = reflect_tables([DagRun], session)
    
    
    dagrun_table = metadata.tables.get(DagRun.__tablename__)
    if dagrun_table is None:
        return
    invalid_dagrun_filter = or_(
        dagrun_table.c.dag_id.is_(None),
        dagrun_table.c.run_id.is_(None),
        dagrun_table.c.execution_date.is_(None),
    )
    invalid_dagrun_count = session.scalar(select(func.count(dagrun_table.c.id)).where(invalid_dagrun_filter))
    if invalid_dagrun_count > 0:
        dagrun_dangling_table_name = _format_airflow_moved_table_name(dagrun_table.name, "2.2", "dangling")
        if dagrun_dangling_table_name in inspect(session.get_bind()).get_table_names():
            yield _format_dangling_error(
                source_table=dagrun_table.name,
                target_table=dagrun_dangling_table_name,
                invalid_count=invalid_dagrun_count,
                reason="with a NULL dag_id, run_id, or execution_date",
            )
            return
        bind = session.get_bind()
        dialect_name = bind.dialect.name
        _create_table_as(
            dialect_name=dialect_name,
            source_query=dagrun_table.select(invalid_dagrun_filter),