Logic Pro 10.6.3 Update

I am currently running el capitan 10.11.6 on my iMac and I purchased Logic Pro X on an older macbook (2012). I was trying to update Logic Pro to the new 10.6.3 update, but its not appearing in my "updates" folder in the app store. Not only that, when I click on the "purchased" tab, Logic Pro X does not come up. I have not had any trouble updating this software on my iMac before.