Hello my name is Alex and I will help you with this.
No you do not have to pay
If you did not call them then there is no contract between you and the Company
If the matter went to Court they would have to prove there was a contract, you agreed to their terms and you suffered a loss
Given that you broke down, I assume the terms were not clearly visible.
In any event I can not see how they suffered a loss for those 10 minuites
As such no, you do not have to pay.
You have no contract, you did not agree to their terms and they did not suffer any loss
Can I clarify anything for you about this today please?