After the quarians agree to hold fire, Legion reveals that he wasnt able to upload the Reaper Code properly and direct dissemination was required. He apologizes to Shepard that it has to be this way, and then Tali approaches him and tells him that the answer to the geths question was Yes. Legion says he already knew the answer, but he thanks her for acknowledging it before shutting down and falling over. That was just a very emotional exchange for me because it showed that Tali was finally ready to accept the geth for what they are and put the past behind her. It was in effect admitting the quarians had been wrong for attacking them all those years ago as well.
But this was one of those moments whose full impact didnt really hit me until afterward when I talked to EDI on the Normandy and she pointed out something I hadnt noticed. Before he shut down, Legion referred to himself as I instead of We, indicating that he had achieved a fully independent personality instead of merely being an avatar of the geth consensus. When she mentioned that, I was just like, Wow, and I started to get emotional all over again. Such a great moment.
Bonus Question: What is your favorite moment where two characters reconcile with each other?
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"But you have been given freedom. Freedom to be...outside."
"I am lightning...the rain transformed."