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"Donald Trump says he would end the war in Ukraine in 24 hours tonight on CNN," the possible 2024 candidate tweeted. "Despite how ridiculous that is to say, I suspect he would try to do it by turning Ukraine over to Putin and Russia. #Putin'sPuppet."
Former Arkansas Governor Asa Hutchinson, who recently launched his own presidential campaign, also targeted Mr Trump's Ukraine position.
"Trump reminded everyone tonight of his support of Russia and his willingness to sell out Ukraine," he tweeted. "A weak position that will not win the war."
Highlighting Ukraine is an interesting choice, however, given that polls show a growing number of Republican voters are sceptical of continued US support for the war effort. Mr Trump may be more in step with the Republican base on this issue than these two critics.
If Mr DeSantis' side viewed the whole event as nonsense, a number of media analysists and commentators agreed, although they placed the blame squarely on CNN for the format and setting of the event.
"Here's what CNN did tonight: They produced a global television event for an unhinged pathological liar in front of an audience of sycophants and called it 'news'," former Republican strategist and vocal Trump critic Steve Schmidt tweeted. "It was an abomination."
The former president's CNN forum was barely over before his likely 2024 challengers slammed him.
www.bbc.co.uk