After going through the detailed description in your post, I tried wrapping things up and created the picture below based my personal understanding of your current environment. Feel free to let me know if I have misunderstood anything.
We want srv3.domain1.com CAS+MBX as DR server to switch over to it from primary office to it in case of primary DC is down
As regards to your requirement for the site reselience in case of the failure of primary DC, from the perspective of Exchange server side, noticed that the new added server(srv3.domain1.com) is playing as DC and Exchange 2013 server at the same time, right? If this is the case, it's actually not supported according to the official document below:
Installing Exchange on a domain controller is not recommended
"Running Exchange 2013 on a clustered node that is also an Active Directory domain controller isn't supported."
Then please understand that under "office-exchange-server-deployment" we mainly focus on general questions related to Exchange server and I personally am not that familar with Active Directory resilience, so I'd recommend asking this particular query using some AD related tags as well to confirm if this is a supported and correct deployment.
When it comes to the issue that after the 3rd exchange server srv3.domain1.com was added into the branch site, mailboxes belong to domain2.com is connecting over WAN link to the primary exchange CAS (https://owa.domain1.com), considering that the 3rd Exchange server is also a domain controller, I am assuming if it's possible that the servers in domain2.com are for any reason communicating with the new DC rather than its original dc in branch site. So for this situation, as mentioned earlier, I'd suggest first trying to confirm if the configuration is a right way for AD site resilieance and it won't interrupt the current communication between servers.
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