Disregard my last. I was able to get it working on 4.11 by disabling all of the Core Isolation options in Windows, rebooting my computer, and then going back into the Core Isolation options and turning off the last option about the driver blacklist before launching APS. After doing all that, the window for the BlueCore Device Firmware Upgrade Wizard appeared and stayed open and transferred the firmware to the device and it started to work again with the updated firmware. This is on Windows 11.
Be sure to go back in and turn back on the Core Isolation options when you get your device upgraded. For me, I had to go into Device Manager and show hidden devices to remove the BlueCore Bluetooth drivers before memory integrity would turn back on.