Does "playing this obvious" mean "playing this in an explicit manner"?

Context:

"First, an opening to China would give us more flexibility on the world scene generally. We wouldn’t just be dealing with Moscow. We could deal with Eastern Europe, of course, and we could deal with China, because the former Communist Bloc was no longer a bloc. Kissinger wanted more flexibility, generally. Secondly, by opening relations with China we would catch Russia’s attention and get more leverage on them through playing this obvious, China card. The idea would be to improve relations with Moscow, hoping to stir a little bit of its paranoia by dealing with China, never getting so engaged with China that we would turn Russia into a hostile enemy but enough to get the attention of the Russians. This effort, in fact, worked dramatically after Kissinger’s secret trip to China.Thirdly, Kissinger and Nixon wanted to get help in resolving the Vietnam War. By dealing with Russia and with China we hoped to put pressure on Hanoi to negotiate seriously. At a maximum, we tried to get Russia and China to slow down the provision of aid to http://en.wikipedia.org/wiki/North_Vietnam somewhat. More realistically and at a minimum, we sought to persuade Russia and China to encourage Hanoi to make a deal with the United States and give Hanoi a sense of isolation because their two, big patrons were dealing with us. Indeed, by their willingness to engage in summit meetings with us, with Nixon going to China in February, 1972, and to Moscow in May, 1972, the Russians and Chinese were beginning to place a higher priority on their bilateral relations with us than on their dealings with their friends in Hanoi."^[3]