Can Zimbra set up pass-through (SSO) authentication for two domains from the same forest?

Question

Zimbra

Good afternoon. The question is:

• I have a Zimbra server
  
• 5 domains in the forest
  

I was only able to set up one domain for SSO. Is it possible to connect all domains to SSO to different names of one Zimbra server?
There are commands:
ms mail01.example.local zimbraSpnegoAuthTargetName HTTP/mail01.ptc.example.local
ms mail01.example.local zimbraSpnegoAuthPrincipal
HTTP/[email protected] this is all wrapped up, and I can not tie spnego to one server, to several domains. Actually the question is, can it be possible to give a second name to the server? Like alias? Or are there any other workarounds?