Account upgrade

Hi all. New to this Zwift stuff but I am really looking forward to it. Quick question if anyone can please help. I did the free trial this morning and want to upgrade but the iPad that I use to train with will not let me do in app purchases because we set up parental controls on it ages ago and no one can remember the passcode to change it. I have tried every way I can to change it or remember it but I keep getting locked out of trying again for an hour.
So my question is this. If I simply pay for the upgrade on the Zwift website on my PC in the house will that be automatically detected on the app on my iPad?

Yes, it works across devices (linked to your username / account)