Petzl Actik Core Headlamp
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The best answer to the rechargeable-or-AAA question, because it does both. It ships with Petzl's CORE rechargeable pack, charged by USB-C, and also runs on three ordinary AAAs, so a dead pack on day four just means swapping in batteries from your kit.
It tops out at 625 lumens, runs up to about 100 hours on low and two on maximum, and has red lighting and a lock. The soft, stretchy strap and well-balanced housing keep pressure points down over a long evening. It is among the pricier lamps here, and its IPX4 rating covers rain, not submersion, so it is better for wet camps than for wading streams.
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