Formula to see if Date Ranage contains a date from list

Hi! I am trying to figure out how to do a formula to see if the date range of two dates contains any of the dates in a separate list of dates. Please see the example data below!! Thanks in advance!!!

Start Date End Date Range Has a Date from Date list
2/1/2023 2/5/2023
1/17/2023 3/14/2023
4/1/2023 6/13/2023


Date List
2/2/23
5/17/23
1/17/23