Hi from me too, Northwest -
So you mentioned the basic, the arena, and a "third" ticket"? I'm assuming you mean the one which includes the underground? There are actually 3 economical options for the underground + arena so in case you didn't check dates for all of them....
Here is this is the 24-euro ticket for a guided tour of the underground, and non-guided access to the arena and other general areas:
https://www.coopculture.it/en/products/full-experience-ticket-with-access-to-the-arena-and-underground-of-the-colosseum/
And then there's this 34-euro ticket that includes a guided tour of the underground, arena plus all the other accessible areas:
https://www.coopculture.it/en/products/the-wonders-of-the-colosseum-visiting-the-underground-and-the-arena/
In both cases above, the ticket includes entry to the Palatine and forum (but no guided tour of those sites).
There's also this night tour option if in Rome on a Friday or Saturday:
https://www.coopculture.it/en/products/colosseum-by-night-00002/
This one does not include Palatine/Forum entry.
Hope one of them might work for you? What dates are you looking at?