Was Blue Team on the Infinity after Halo 4?

Not sure if someone else has posted this, but were the members of Blue Team already on the UNSC Infinity when MC returned after throwing the Didact into the composer?

After the events off Halo 4’s campaign they showed up briefly before leaving with Chief with a mission, I suppose you’ve not read Escalation so I won’t spoil

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> After the events off Halo 4’s campaign they showed up briefly before leaving with Chief with a mission, I suppose you’ve not read Escalation so I won’t spoil

Yeah I havent read those stories yet. I tend to stay away from graphic novels if they have had reviews of being sub-standard in quality. I stick to the novels for the expanded lore. I am almost done with Broken Circle, my 12th Halo novel.
To be honest, I dont care if you spoil Escalations plot arc to me. I probably wont get around to reading it. Whats it about (all I know is that the Ur Didact gets killed by MC I think)?