Shalybn, thank you for your question. You've made your inquiry on Google's local review website. I'm retired Navy and have access to the base gym's. None of the Kitsap Navy bases have an indoor track. When I want to walk or run, I walk around the basketball courts. The Bremerton gym has an auditorium, which used to be the base movie theater. You'll be required to show your crentials prior to entry into the gymnasium.
Simple answer... No
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