The filing prerequisite is a nonjurisdictional mandatory claim-processing rule; both statutory routes begin with a BOP request and the court must enforce the rule when properly raised.
Material limitation
Binding only in the Fifth Circuit and only for the bounded procedural postures in the linked claims. Official published opinion reviewed. The defendant made no BOP request; no broader issue-exhaustion or merits proposition is inferred. A comprehensive commercial citator was not run.