A dense black smoke cloud from the fire has spread about 62 miles west toward Havana.
Former President Donald Trump had increased sanctions against Cuba, including the cancellation of permits to send remittances.
Search crews are hunting through the ruins of the luxury hotel for survivors of an apparent gas explosion and officials have raised the number of known dead to 30.
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Several cases of the mysterious condition have now taken place in Washington, according to CBS News.
The president hailed Cubans for "bravely asserting fundamental rights" and implored island leaders to serve the people "rather than enriching themselves."
Although many people tried to broadcast the Havana protest live, Cuban authorities shut down internet service throughout the afternoon.
Elsa’s maximum sustained winds strengthened to 60 mph late Monday.
180,000 people were forced to evacuate in Cuba as officials warned of heavy rains and potential flooding.
The storm is headed to Florida next, where Gov. Ron DeSantis declared a state of emergency in 15 counties.