I don't need to explain why you shouldn't visit a place where Mao's body is.
If you are in Tiananmen you can spend the day in the forbidden city, the hutongs near qianmen and more hutong around the lakes. At the sunset, I recommend to head to jingshan park. If you are lucky and the sky is clear you'll enjoy the views of the forbidden city from the back.
As said, if you can avoid it, don't visit Mao.
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