I'm trying to figure out what battery connector the Playdate console (https://play.date) uses, for replacement and other modding purposes. I've looked through many manufacturer catalogs like Molex, JST, TE, and Hirose without any matches. I've also been unable to find a match looking through all seemingly-relevant connectors on the popular component resellers. Hopefully I'm just missing something obvious!

The connector has 3 pins at 1.25mm pitch, and I've included a couple photos + an approximate dimensioned drawing based off my own measurements.