Powerbeats Pro won't update to the latest firmware.

Hello, everyone,

I am having an extreme amount of difficulty with updating my Powerbeats Pro (Model Number A2048, Firmware Version 4A394) to the latest firmware (4E64). From everything, I’ve read, the firmware is supposed to automatically update as your iOS version is updated. I am running a iPhone 13 Pro with iOS 16.1, so it should have already updated. Also from what I have read (and this is all coming from the apple.com and beatsbydre.com websites), the updated, firmware was released in iOS 15.5, so why my headphones have not updated, is simply beyond me. I have tried calling Apple as I have AppleCare on virtually every product I own, and I have been a loyal Apple customer since my very first computer was an Apple II E (when I was seven) and my second was an Apple Performa 466, and so on and so on. So, imagine my surprise when I called AppleCare and was told by two senior advisers that they could not help me as this is a product made by another company, not Apple, when I informed them that Apple purchased Beats back in 2014, that they sell these products on their website as their own (which they are), and that they offer AppleCare for the Beats products, they acted like they did not care at all, and did everything to avoid assisting with this issue. Causing me to question why I bother purchasing AppleCare for my products in the first place…. Any help anyone could provide directing me to a way to update the firmware on my Powerbeats Pros, would have my eternal gratitude.