The only way to do that is with Javascript.
let me explain: the radio buttons, by themselves, and the button, need to be related, and the simplest way to do that is that they are all part of a form.
So your button should be a "Submit" one. You add, in the Inside Tag of the radio buttons html :

"onclick="changeaction()"



Now you should write this simple Javascript (changeaction) that will check the value of the radio buttons and will change the form action accordingly, to send to either page 1 or page 2.

If you look at the code of the Go Menu, you will get some ideas on how this function should be structured.

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