Sorry, I called you the wrong name, see, my brain's splitting
Dad isn't your name, see Faggot's a little more fitting
Tyler immediately regrets calling dad to his biological father because he left him right when he was born, and never came back, so he prefers to call him faggot.
Also, another reference to his multiple personalities with the “brain splitting” line. Wolf would call him Dad, Sam would call him Faggot.
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