Spa Is Trying To Charge Me $3,403

I got an ad for a facial at a spa a few weeks ago, I figured I'd give it a go since I could get an appointment for just before Valentine's Day. When I get there they immediately started in with Used Car Salesman energy, "We are going to go above and beyond this time! We'll throw in extra because you seem great!" Etc. Before my facial they take me into another room for a "skin consultation" and take pictures of my face. I've had that done before so it didn't seems weird, just odd that they didn't go over the results with me before the facial and use the info to curtate the treatments. I get the facial and get dressed. They direct me to a back room with the gal that took my pics. She proceeds to tell me how terrible my skin is, how I need all these treatments, how they created a personalized treatment plan for me. She goes into the camera roll on the ipad and selects a flier that clearly been there for a while she said it's my personalized plan. I've been wanting to get more facials so I keep talking to her even though she's being a bit sketchy. Then she tells me it'd be $4,500 for 12 treatments and skincare to take home (from a brand I'd never heard of) telling me "this is the best" and "you need it" and to "look at your results from the skin assessment, you're basically haggard." (Not exactly what she said but that was essentially the pitch). She also kept saying "you could do a monthly payment and stretch out the total cost as needed" She also didnt say that there was an option to pay in full up front, which is the only thing I ever do. I knew she was being an aggressive and pushy sales person, but I still wanted to get the list of treatments offered as my treatment had been nice and comprehensive but I did NOT want to pay that price. She hits me with, "what are you willing to pay monthly to have good skin?" And given the number of treatments per session and that they'd provide all my at home skincare for the year I was willing to do $200 per facial. She leaves to "see what [she] can do" and comes back offering ~$230 per session. I reluctantly agree as I just want out of there and can almost justify it at this point. She pulls up something on her tablet and asks me to fill in my info to sign up for the package. She keeps taking it from me and doing something then handing it back. I was under the impression that I was agreeing to the total amount and would make monthly payments to them after each treatment, that this was who they did payments through like Stripe/etc. At the end she hands it back to me and it says, "approved! Method Type: Credit Card". I thought this was just a weird description of how i was paying until I got an email later that day that said a credit card was opened and I was charged $3,403. At that price I would be paying $283.58/appointment not $230 and I did not agree to a credit card, or at least didn't think I did. I reached out to them and they are refusing to refund the charge or cancel the package. They keeps saying they have a no refund policy and I agreed to it and was shown that at time of purchase. I did not see anything about refunds and no one went over that with me. I did not want a card opened in my name, that is not what I thought was happening, and they increased the amount without my knowledge or consent. They are also refusing to send me their refund policy or any of their policies even though I have requested multiple times. To boot, I woke up with a rash and the worst acne after the treatment. I think the gal changed the amount when she kept taking the tablet from me but I'm concerned that now they have my signature on these forms. I read through the Ts&Cs that were on the pages I saw and I didn't see anything about opening a credit card. The card was also opened under my nickname, not full name.

Is there anything I can do? I tried filing a dispute with the card company and the gal that filed it sounded like she was just putting in half of what I said and I'm concerned they won't hold it up.

PLEASE HELP! I just want to cancel the whole thing and move on. Thank you!!