While I was posting, I thought to create the event and then export the event to figure out if I could export the event and view the .ics file. Well, you can't export one event but I did export the calendar and found the event.
BEGIN:VCALENDAR
BEGIN:VEVENT
DTSTART;VALUE=DATE:20221028
DTEND;VALUE=DATE:20221028
RRULE:FREQ=MONTHLY;INTERVAL=12;BYDAY=4FR
DESCRIPTION:
LOCATION:
SEQUENCE:10
STATUS:CONFIRMED
SUMMARY:Event on the fourth Friday of October every year.
TRANSP:TRANSPARENT
END:VEVENT
Here is the important part:
RRULE:FREQ=MONTHLY;INTERVAL=12;BYDAY=4FR
Frequency = Monthly
Interval = 12 (months)
BYDAY = 4th Friday
This event will take place every 12 months on the 4th Friday. Essentially, once a year on the 4th Friday.
DTSTART;TZID=America/New_York:20220923T170000
DTEND;TZID=America/New_York:20220924T033000
This is when the event will start and end on that 4th Friday (or in this case, start on Fri and end on Sat).
Hope this helps someone else.