Banned for third party program where this is my only league laptop

I was recently banned for use of a third party program. All I have on this computer is League of Legends and Origin. That is it. I've never cheated in this game ever and can't think of any way this mistake would happen. I have created a ticket but I cannot find a way to live chat. Does this happen often? I wouldn't care but I have put a lot of money into my account over the past few years and to be banned for something I never did seems ridiculous. I am very disappointed.
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