Since the inRide uses Bluetooth, you shouldn’t need an extension or dongle, and changing the battery was a good first step.
I checked your account, and depending on which platform you’re seeing the issue on, you may want to try the alternatives - i.e. if you’re riding on your Mac and seeing this while using the Mobile Link Bluetooth, try using native Bluetooth; or if you’re using the iOS game, try switching back to the Mac + Mobile Link instead.
If you’re seeing the issue on both platforms, it could be an issue with the inRide itself, and I’d recommend doing a test in a different app or program to see if the issue persists. It looks like Kinetic has a Kinetic Fit app, so you may be able to do a test there.
Alternatively, you can open a support ticket with us and/or check your log files on a fan site like Zwiftalizer to see if you’re having Bluetooth dropouts.