Rule 502. The protection of Attorney-Client privilege and other voluntarily disclosed documents to be used in one venue, without waiving protections and protecting documents for use in other courts.
Controlling Effect of a Court Order. A federal court may order that the privilege or protection is not waived by disclosure connected with the litigation pending before the court โ in which event the disclosure is also not a waiver in any other federal or state proceeding.
https://www.discoveryadvocate.com/2017/12/18/why-arent-you-using-fre-502d/