By Jarrett Renshaw CHEYENNE, Wyoming (Reuters) – American Bridge is the Democratic Party’s primary opposition research organization, spending tens of millions of dollars to track Republican rivals and produce attack ads. But in 2024, the deep-pocketed ally of President Joe Biden is adding a new role that could help shape the Nov. 5 presidential election: third-party suppressor. Worried that third-party bids from a centrist group called No Labels and anti-vaccine activist Robert F. Kennedy Jr. could siphon off votes from Biden in key states like Pennsylvania, Michigan and Arizona, American Brid…