A somewhat related history lesson: (I have no clue about the actual casino history, but this is based on my knowledge of china and Chinese history)
新中国 or new China is probably a reference to the (at the time) recently founded People's republic of China, and because of this the casino might be a celebration of the Chinese Communist party (CCP), communism and maoism. There were plenty of songs and famous slogans used by the Communist party at the time such as "没有共产党就没有新中国“ ("without the CCP there would be no New China"). These slogans were common after Mao and the CCP won the Chinese civil war and founded the People's Republic of China in 1949.
At least I assume this is the basis of the casino name.