I have a Zebralight that gives 300 lumens from a single AA battery. Mine is several years old though, there's probably a better model today.
But that's what I'd look at: AA battery and 300 lumens or so. You have to buy NiMH, which is really cheap these days (Eneloop has the best brand recognition. Energizers are good. AmazonBasics are surprisingly rebadged older-eneloops from Panasonic, so they're also pretty good).
Basically NiMH gives more current than any Alkaline or Heavy Duty battery. So only rechargable NiMH can offer 300 lumens.
The metal construction is durable for sure, but note that your phone will get scratched up by the hard metal if you put it in the same pocket as this flashlight. AA is small, but not quite the smallest, you can still feel the thing in the pocket throughout the day, but this is far smaller than your typical 18650 Li-ion based 1000+ Lumen behemoth.
A web-search gives this as the rough size:
One cool feature is the firefly setting: 0.1 lumens. You'd be surprised at how useful that one is. You don't need much light in some situations, and keeping the setting low can keep your "natural night vision" so to speak.