The returned value is contained in searchSpecResult so searchSpecResult would return One, Two, or Three depending on what was selected. That is how you know what button is pressed
In your code it looks like you are trying to do a group of radio buttons in every loop in your iterator. If that is what you are trying to do then you will need to have the value in the name attribute be a unique field name for each group of buttons.
So if addpayer is a collection for the returned value, you should set the radio button like this: