The EE's should work no problem, I've been able to do the tranzit EE with my friends.

Daz_Nerth
@Daz_Nerth
Posts
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How to join zombies via LAN -
How to join zombies via LANhttps://youtu.be/nuTBf9PDVsY?si=7jIwpIjVcPNEf0pQ
What up! This is what I used to play with my friends on bo2 zombies, just remember you gotta have each other added as a friend on this forum website so your friend(s) shows up in your friends list on bo2. It's pretty straight forward and the guy explains how to do everything pretty well. Hope this helped