On May $28,2020,$ President Trump reacted to the protests and riot occurring in Minneapolis after police officers allegedly murdered George Floyd; the encounter was captured on multiple cell phones and store videos nearby. The protests began to turn violent as nightfall arrived. In response, the President tweeted the following:

$$These THUGS are dishonoring the memory of George Floyd, and I won$$t let that happen. Just spoke to Governor Tim Walz and told him that the Military is with him all the way. Any difficulty and we will assume control but, when the looting starts, the shooting starts. Thank you!$$

In response, Twitter attached a heading to the post:

$$This Tweet violated the Twitter Rules about glorifying violence. However, Twitter has determined that it may be in the public$$s interest for the Tweet to remain accessible. Learn more.$$

Does Twitter have the right to add clarifications to tweets that $$glorify violence$$ or tweets that are untrue? Why or why not? Use at least $1$ inline text citation to support your assertions.