New CEC Entertainment CEO Tom Leverton is an energetic person with a competitive spirit. I learned this firsthand after spending some time with him during his second month leading the company, which comprises more than 570 Chuck E. Cheese's across the nation. Leverton was insistent on battling me at his favorite game Teetering Tower, which is only his top choice because one of the chain's managers beat him previously, as well as the old-time classic Alley Roller. When we tied in Alley Roller,…