Wingsuit won't help you (most base jumping fatalities are in wingsuits).

Also you don't need second reserve. Tandem fatalities are almost absolutely not existent. You have bigger chance dying from going downstairs than from this. Go for it and have fun.

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It is required to have a reserve parachute, and a wingsuit is more likely to cause you issues, especially if you have no idea how to fly it...you still need a parachute with a wingsuit anyways. I fly wingsuits occasionally and work as a tandem instructor so feel free to ask any questions.