Was Mar-a-lago Open to Trump Supporters to Evacuate for Hurricane Milton?

Claims are circulating on social media that former President Donald Trump is offering free lodging at his properties, including Mar-a-Lago, to Trump supporters displaced by Hurricane Milton. There are various posts from social media users, some claiming that Trump is offering shelter and others stating that the claims are false. It also includes a statement from a representative of Trump National Doral, saying that the hotel is fully booked. Do you think the claims about free lodging for Trump supporters at Mar-a-Lago are true?