La Paz to Lima

We have a choice between two flights - one on LATAM at 3:40 a.m. And one on Avianca at 7:56 that arrives in Lima at 9:05. Our flight to JFK leaves Lima at 12:20. Do people who have been on this trip think this is enough time to get through customs, etc. at the Lima airport? We'd love to avoid a 3:40 a.m. Flight.
Thanks.
Melanie
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