ABC News’ Rick Klein reports: In an interview with a columnist in his home state of Delaware, Vice President Joe Biden confirms what many Democrats have been buzzing about for weeks: Delaware Attorney General Beau Biden does not want to run for his father’s old Senate seat. At the end of a wide-ranging conversation with the Delaware News Journal’s Harry F. Themal, the vice president brought up the race to fill his Senate seat. UPDATE: See updated blog post on this story. Here’s the exchange, as recounted by Themal: Biden: "If you run into Beau, talk him into running; he respects you." Themal: "I don't think he wants to run, though." Biden: "I don't think he does either. I know he doesn't want to. … I'm so proud of the job he's done [as attorney general]." Themal: "Would you campaign for him [against Republican Mike Castle]?" Biden: "Hell, yes. I told him I'd give him my sixth-born grandchild." If Beau Biden takes a pass, it would strike a major blow to Democratic efforts to hold on to the blue-state Senate seat. Rep. Mike Castle, R-Del., is mounting a strong challenge for the seat, which is now held by Sen. Ted Kaufman, D-Del., a former Biden aide who filled the seat with the understanding that he would not run for a full term.