DAG run as per timezone

Question

I want to run my dag as per new york time zone. As the data comes as per the new york time zone and dag fails for the initial runs and skips last runs data as well since UTC is 4 hours ahead and the day gets completed for UTC 4 hours earlier than for new york.

I have done

timezone = pendulum.timezone("America/New_York")

default_args = {
    'depends_on_past': False,
    'start_date': pendulum.datetime(2022, 5, 13, tzinfo=timezone),
...
}

test_dag = DAG(
    'test_data_import_tz', default_args=default_args,
    schedule_interval="0 * * * *", catchup=False)


DAG CODE works with:
yesterday_report_date = context.get('yesterday_ds_nodash')
report_date = context.get('ds_nodash')

But when the DAG runs as per UTC only and the initial run fails as data is not present.

Dag Run times are: 2022-05-13T00:00:00+00:00 2022-05-13T01:00:00+00:00 and so on

whereas I want this to start from 2022-05-13T04:00:00+00:00 2022-05-13T05:00:00+00:00