I didn’t know that Wyze would allow break-downs of their hardware, otherwise I would have posted my breakdown. LOL
Thanks for your post. I too broke down my Wyze Outdoor cam v1 because the battery died (after only 2 weeks of use!).
Here is my interpretation of the battery circuitry.
I was going to replace the battery, but the only suitable replacements cost about 1/3 the price of a new v2 outdoor. So, I decided that I am going to bypass the battery and power the camera directly to the 5vdc USB cable.
I haven’t spent very much time on this project yet, but applying 7vdc to the severed battery terminals doesn’t work, nor does applying 5vdc to the black/red wires (severed from the battery charging circuit). My guess is that the camera is expecting a batter status signal from the charging circuit via the yellow/white wires.
I’ve only spent less than 1 hour on this, but I’d be interested in learning anything about this circuit and if anyone has already successfully hacked this camera circuit. 
Shawn