Didn’t Zhao Ziyang go down there and plead for everyone to leave… Then spent the rest of his days under house arrest for it…

Wikipedia does say:

1 June meeting among the CCP’s leadership decided to clear the square.[14][12][13] Chinese troops advanced into central parts of Beijing through the city’s major highways in the early morning hours of 4 June, and engaged in bloody clashes with demonstrators attempting to block them, in which many people – demonstrators, bystanders, and soldiers – were killed or injured. The vast majority of killings were clustered in Beijing’s western suburbs along Chang’an Avenue. Estimates of the death toll vary from several hundreds to the low thousands, with thousands more wounded.[15][16][17][18][19][20] On June 5, after military forces cleared the Square

…and it also appears accurate to claim that in China it’s called the June Fourth Incident. This explains Western ideas that the Tiannamen Square Massacre isn’t a known thing in China (possibly just because they call it something else?).