"Bharat" is already India's name in most local languages, including Hindi, and is mentioned as a synonym of "India" in the English version of the country's constitution, but hasn't been used in formal international contexts until now.
The name "#India" was already used by the Ancient Greeks more than 2000 years ago, though some in the region associate it more now with the #UK's colonial subjugation of the country in the 1700s-1900s.