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Reporting by ETOnline.com

It's been almost two weeks to the day since Bruce Willis welcomed his new daughter, Mabel Ray, to the world and the four-time-father is still shining with that proud-papa glow.

Willis calls the bouncing baby girl a reawakening of sorts, telling ET that fatherhood has given him a new zest for life.

Related: Bruce Willis Welcomes Baby Girl

"You just forget how much fun it is and how cool it is," Willis says. "There are a lot of things that I'm reminded of that regular life knocks out of you."

The new dad arrived to our interview for the hotly-anticipated action flick, "GI Joe: Retaliation," out June 29, admittedly sleep deprived, but Willis says he wouldn't have it any other way.

"I didn't get to bed till 9am…[Lately] I'm just up wandering around with her…It just calms you down. It calms me down, anyway."

Related: Bruce Willis & Wife Expecting Baby

Mabel Ray was born April 1st and is Bruce's first child with wife Emma Heming. The 57-year-old actor has three daughters (Rumer, 23; Scout, 20; and Tallulah, 17) from a previous marriage to Demi Moore.