And i repeat.
You legally and morally had the option to deny paternity, then they will arrange the test for a few hundred, at your expense, and only then can they take money from you.
I know this because two months ago when my claim was accepted, i asked them what happens if he tries to be a dick and deny paternity. They told me the above.
I also know, that the fact they were "taking" money, as you quoted, means that you did the same thing my sons useless deadbeat so called father did, and ignored them/refused to pay, so they were forced to take from your wages or whatever pay you get. Same happened to me. He ignored and they forced.
There are three options.
Private set up between parents.
Set up between parents and child maintenance service but willingly so- you send the money.
And collect and pay - forced from wages or whatever income.
In all these options, you had the chance to question paternity. Once sure, you proceed accordingly. You didn't do this. I suspect because you tried to dodge payments until you were forced, like my ex did.
So i have zero sympathy