upgrade from Platinum 5 to Logic Studio

I purchased Logic Platinum 5.0 for mac "way back in the day." (I may have later installed a downloaded update to 5-point-something, but I can't remember and hopefully it won't matter for my post.) I used Logic 5 on my G4 for some years, but that computer died a few years ago.

Now I'm getting back into it. I have a Macbook Pro on the way!

Now, I notice that there's an upgrade on the Apple site for $199. Looks like it's for the full Studio version. I'd say "sounds too good to be true", but it's only fair really given that I originally spent $699 or whatever it was way back.

My questions are this: Do I have to have the old 5 installed on my newly-arriving mac in order to then install the upgrade? (That's something I'd rather not do - could leave behind junk on the computer.) If no install of 5 is necessary, how do I show Apple that I properly own Logic Plat 5 and therefore merit the update?

Thank you!