A University is collecting debt on an enrollment deposit, but I never officially enrolled.

Back in 2018, I was researching a University to see if they had a graphic design program I liked. I'm sure there was some paperwork I completed, but I was never officially admitted or enrolled. Their website states,

"Let's make it official! In order to officially secure your place at Lincoln, you will need to submit the non-refundable $275 enrollment fee. This fee secures your place at Lincoln and is credited to your housing reservation or student account. All new incoming students are required to pay the enrollment fee. If you need assistance, please contact the Office of Admissions."

I have no intention of enrolling or attending this school, but they are saying the $275 is a non-refundable charge.

Doesn't non-refundable imply the payment needs to be made in order to be refunded?

Should I have to pay for this?

This bill is now on my credit report.