The current beta is only for Classic 3DS (non-NEW) models.
Sadly for those wishing New 3DS will have to wait a bit, current ETA is less then a week for full support.
As like you notice the 'browser' exploit does not work on the New 3DS, it forces you to update first, which of course we don't want.
So you will have to wait until final glitchs are solved in the Mii Maker Exploit as shown in earlier videos and previous guides.
This is being worked on every minute of the day, and once everything is solid a new release will be done with New 3DS support.
Stay tuned, it not been easy the last 72 hours been rough for all of us, even me I am still awake now on my 60th hour, really need to crash soon.
Thanks for your Patience but New 3DS is Coming Soon.