Creating recurring dates from aware datetime results in imaginary time

imaginary_time.py

from datetime import datetime
from zoneinfo import ZoneInfo
from dateutil import tz
from dateutil.rrule import rrule, SA, SU, DAILY

start_date = datetime(2023, 3, 4, 2, 10, tzinfo=ZoneInfo("America/New_York"))

for dt in rrule(freq=DAILY, count=10, byweekday=[SA, SU], dtstart=start_date):
    print(dt, tz.datetime_exists(dt))
    
"""
Output
-------------------------------
2023-03-04 02:10:00-05:00 True
2023-03-05 02:10:00-05:00 True
2023-03-11 02:10:00-05:00 True
2023-03-12 02:10:00-05:00 False
2023-03-18 02:10:00-04:00 True
2023-03-19 02:10:00-04:00 True
2023-03-25 02:10:00-04:00 True
2023-03-26 02:10:00-04:00 True
2023-04-01 02:10:00-04:00 True
2023-04-02 02:10:00-04:00 True
"""