Why can´t I download an earlier version of Logic Pro on my Monterey 12.7.6?

I bought Logic Pro in 2012.

I have a mid 2015 MBP. I´ve updated my OS to Monterey 12.7.6.

How can I download a compatible version of Logic Pro on my Mac? If I press "Open" on the Logic Pro-app (the Logic version that I bought) at the App Store, it tells me to download the newest version. But for the newest version I need OS 13.5 or higher.

Do I have to buy it again through Apple Store, and then get access to a version that´s compatible to my OS?

I´m a bit lost here. I don´t want to spend more money on this if I don´t have to..