All of Trump’s statements are released to the press first. Then scrapers like his Gab account collect his statements. The statements seemed to show up on his website last.

Example:

Statement by Donald J. Trump, 45th President of the United States of America: pic.twitter.com/VneolJNk7l

— RSBN 🇺🇸 (@RSBNetwork) March 31, 2021

Trump website: