Adobe won't stop billing me

Please be reminded: as soon as you provide your credit card information, at some stage you will get charged. As you have taken an annual subscription, you either need to fulfill your year or pay an early termination fee of half of the remaining due. That is what you have agreed too. 

When you called support, they offered you a free x months extention in exchange for your committment to stay subscribed. You took that special offer. It is clear, that after expiry of your free months, the billing process restarts. 

You need to study more thoroughly the terms and conditions, when taking subscriptions. 

adobe free trials automatically rollover to paid subscriptions unless cancelled.

make sure you're aware of the cancellation terms by selecting your plan type (at the top of the page here), https://helpx.adobe.com/manage-account/using/creative-cloud-subscription-terms.html

for info on how to cancel your subscription, this page describes the few steps involved, https://helpx.adobe.com/manage-account/using/cancel-subscription.html

if you want to cancel but are unable to follow the steps described in the "how to cancel page", contact adobe support.

there are 2 ways to contact adobe; chat and twitter:

chat:
use a browser that allows popups and cookies, and click here, https://helpx.adobe.com/contact.html?rghtup=autoOpen
in the chat field (lower right), type AGENT
be patient, it can take quite a while to reach a human.

twitter:
tweet @AdobeCare

p.s. if you're contacted by anyone (via email or private message), it's much more likely to be a scammer than an adobe representative. ie, double check for an employee badge if contacted in the forums and look for an adobe.com domain in the email address if you click reply to an email. then check again and be very suspicious. any other method of contacting (or offering to contact you) is almost certainly a scam, https://community.adobe.com/t5/using-the-community-discussions/staying-safe-in-the-adobe-support-community/td-p/12919684/redirect_from_archived_page/true

This space is provided by Adobe, but this is not Adobe support
Sorry, nobody here can help with an account or payment problem
This is a public forum, you need the link to Adobe support, not other users
Help Center https://helpx.adobe.com/support.html is a good place to start
Be sure to remain signed in with your Adobe ID before accessing the link below
Do be aware that wait times are sometimes long before an agent responds
.
You MUST make sure that your browser does NOT block ads, scripts, or pop-ups
You MUST also allow 'cookies' in your web browser for the link to work
This will NOT work if you are using a VPN
.
This link will go directly to the chat option
https://helpx.adobe.com/contact.html?rghtup=autoOpen
Type "Agent" in the chat box to bypass the chatbot and be connected to a person
-Meaning type in the word Agent in the lower right, without the quote " " marks
or
Twitter tweet @AdobeCare
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Adobe does NOT do support by email, so beware of answering anyone who sends you a private message
-click for more information about scammers https://tinyurl.com/10791730