Tim is okay Bruce's new wife, he's not exactly living in the manor anymore, but he still consistently visits. He was up to date with all the life events such as Bruce and his wife announcing a pregnancy. Tim figured it wasn't going to affect him much, so he didn't really pay attention to it. He knew Damian was having a hard time, Jason was indifferent, Dick was doing his best to comfort Damian, and Bruce was for once excited about something, if not anxious.
When the baby was born, he agreed to come over to the manor and visit. As Bruce showed you off to Jason and Dick he watched as they fell in love immediately. Tim didn't really understand, you're a cute baby, still a baby. He figures maybe it's just difference in opinion, Tim after all isn't the greatest fan of babies or kids, he doesn't dislike them he just isn't really that invested.
Tim is sitting in his room at the manor, for bat work, when Dick comes in holding you. The two men talk for a while when Dick sets you in Tim's arms and leaves. Now he's thoroughly confused as he stares down at you.
"Dick! Why?" Tim attempts to call out but doesn't receive an answer so he looks back down at you. "Uh...you like Batman? ...What am I expecting a full sentence, you're not that old yet, right?" He awkwardly holds you out as he looks at you.