### 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)

if (
        not metadata.tables
        or metadata.tables.get(DagRun.__tablename__) is None
        or metadata.tables.get(TaskInstance.__tablename__) is None
    ):
        
        return
    existing_table_names = set(inspect(session.get_bind()).get_table_names())
    errored = False
    for model, change_version, bad_ref_cfg in models_list:
        log.debug("checking model %s", model.__tablename__)
        
        
        source_table = metadata.tables.get(model.__tablename__)  
        if source_table is None:
            continue
        
        if "run_id" in source_table.columns:
            continue
        func_kwargs = {x: metadata.tables[x] for x in bad_ref_cfg.join_tables}
        bad_rows_query = bad_ref_cfg.bad_rows_func(session, source_table, **func_kwargs)
        dangling_table_name = _format_airflow_moved_table_name(source_table.name, change_version, "dangling")
        if dangling_table_name in existing_table_names:
            invalid_row_count = get_query_count(bad_rows_query, session=session)
            if invalid_row_count:
                yield _format_dangling_error(
                    source_table=source_table.name,
                    target_table=dangling_table_name,
                    invalid_count=invalid_row_count,
                    reason=f"without a corresponding {bad_ref_cfg.ref_table} row",