By Eduardo Baptista and Martin Quin Pollard BEIJING (Reuters) -Cai Qi catapulted to the top rung of China’s leadership on Sunday, capping a late career rise that overcame a less than ideal stretch as Beijing’s Communist Party boss. Cai, 66, was not on everyone’s list for the elite Politburo Standing Committee, but he is seen as one of Xi’s closest political allies, having worked with him for 20 years in the coastal provinces of Fujian and Zhejiang. His leap to the party’s top governing body was reminiscent of a jump in 2017 into the Politburo without the typical first stop on the larger Centra…