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I mean that the controller updates the same way you update the joycon in system settings.
Did you charge your Pokeball Plus? Apparently it takes 3 hours to fully charge. It also looks like there's a small black reset button on the back. You could try pressing (perhaps holding) that with a pin...
Registered just to answer this question: the only way I could get the Pokeball Plus to pair with my switch was to launch Let's Go. There's a screen at the beginning asking you to choose your controller and pressing the middle button will connect it to the switch. Then as the other user mentioned...