Welcome to the Forum, @JenniferLynn! 
This request has been made repeatedly for years as an active Wishlist item. Feel free to contribute your comments and vote in that topic:
I can relate. My first Cam Pan v3 would frequently and irritatingly lose its Wi-Fi connection even though it was only a few feet from a wireless access point with no intervening walls, so I resorted to the same solution: I used a Wyze Plug that allowed me to power cycle the camera in order to get it back online. Eventually, Wyze released two different firmware updates that specifically addressed “Wi-Fi connection stability”, and that has seemed to resolve the issue for me, so having current firmware is the first thing I’d check.
Having said that, Wyze has posted some firmware updates in recent months that have been supposed to improve or add new features but have also introduced bugs in the process, so I’m suspicious this may have happened again (especially if you’re current with your Cam Pan v3 firmware). I’m not saying that it has happened, but I wouldn’t rule that out as a possibility just yet.
I also wonder about power at your camera’s location, both what’s being delivered to the camera (from its power source) and what’s being delivered by the outlet itself. I’ve read elsewhere on the Forum that Cam Pan v3 can be finicky because it has higher power requirements than other Wyze camera models (because of its ability to pan and tilt), so anything that activates the motors can cause issues if the power available to the camera is being used to make the camera move. That’s reportedly part of the reason some people have problems when they use non-original power supplies or cables.
The second part, the outlet, might be trickier to figure out. I’m suspicious of that because you’ve already had two different devices (your Cam Pan v3 and your Plug Outdoor) experience issues, presumably at the same outlet. I think it’s great that the Kasa plug is working for you, and I’ve also had good experiences with Kasa/Tapo/TP-Link products. If there is an issue with that outlet (and I’ve experienced problems with outdoor outlets before), then I wonder if the Kasa plug design just has more resilience in its ability to recover from outages or power fluctuations at that outlet.
I’m just speculating here, and I agree with @SeaStream that constantly power-cycling seems more like a temporary troubleshooting-type work-around and not a long-term solution (though it’s certainly something I’ve done short-term in the past). I don’t know if any of this will be helpful to you or not, but I hope you find a workable lasting solution at some point.