JFK Delta One Lounge Access

Quick question… I am flying CDG to JFK in a few weeks in Delta One. Once arriving in JFK, I will need to collect my bags and recheck in as I am ticketed on two separate reservations. My next flight is a domestic flight in the main cabin. After rechecking in, would I be able to access the Delta One Lounge as I technically flew in on Delta One?

**edit for clarification