Need help installing an Origin version on a computer without Origin

[Captain Jack Sparrow]

Okay, first all my other games are CD versions. I got an Origin promo code off a rewards site which I used to get Sims 3 Pets expansion pack.
Now the problem is that the game is an Origin downloadable version. I've managed to download the Sims 3 Pets installer on a seperate computer with a 3G connection, but the problem is that my gaming computer with all my other CD versions of the game is on a Firewall protected network, which Origin cannot connect through. Therefore I can't install Origin on this computer. The network administrator (that's me by the way) can't figure out how to allow outbound access on Origin's ports making Origin useless.
I've transferred the game to a DVD, and managed to run the installer, but it's asking me for a CD key. Is it possible to get Origin to show you your CD key which needs to be used to install the game? If so, where do I find the CD key?
Origin is automatically attempting to install the game on the computer I downloaded it on which is a crappy work laptop which is not what I want because it doesn't even have Sims 3 base game on it, which means it's gonna fail anyway.

[Belzader]

If you click on the ( I ) picture on picture of game under my games it should show information about the game including the key.
Game proberly won't work though on the computer with the firewall as it require internet connection to verify game every time you start it, unlike the disc version which check for a game disc.

[Captain Jack Sparrow]

Ah! I feel so stupid now. I found the CD key is under the digital rights subheading in the order confirmation email, it wasn't separated by dashes, so I guess I missed it. Thanks for your suggestion going to the My Games and (I) icon, it's a much quicker way. The DRM check won't be a problem, because I have The Sims 3 Showtime Katy Perry edition which should disc check for that ONLY and completely bypass the Pets DRM check.
Thanks again for the help.