The competition to determine which of four development teams will get the roughly $1 billion job of designing, building and financing a new one-terminal Kansas City International Airport has descended into dueling accusations and claims from two of the teams related to the cost of their proposals.

The latest salvo came Wednesday evening via a news release from Ian McNamara, a spokesman for the KCI Partnership team led by Los Angeles-based AECOM (NYSE: ACM).

It states that Kansas City-based Burns…