Yes, and the same rules apply at all the State Parks in Louisiana. It can reach up to half the enterance price. Please, don't forget to bring the proper identification.
From the Louisiana State Park website - Active duty military personnel and one immediate family member receive a 50% discount for day use entry to a state park, historic site or world heritage site by presenting a current, valid military photo ID. Free admission to all sites is provided for Disabled Veterans with State Park Permit. I think there is a 15% discount on cabin rentals through the Reserve America website https://www.reserveamerica.com/explore/chicot-state-park/LA/240027/overview
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