If you are invited to a room and informed your services are no longer needed you have 100% permission to be human in your response. If th at means sobbing, screaming, and wailing, so be it. You have experienced a trauma that has been compared to involuntary divorce and to death. That it brings a human element to what is otherwise scripted to be sanitary experience, so be it.
If you are one who is not-invited, be empathetic and don't make it about you. If you know someone well, perhaps surreptitiously slip your (non work) contact info to them. If you know them only at work, acknowledge the mutual loss of future interaction but don't make it about you (particularly if they are busy trying to pack to get the h--- out of the building. If they are venting, be an ear for them. Don't add, dismiss to what is being said. It's about them and not you,
As I'm told, there is life after Target. I hope to not have to discover that on less than my own terms but I know it is there.
If you are reading this and you have been impacted, please accept my best wishes on your next journey/adventure. May the road to your next position be short, the rewards high, and the destination pleasant.