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British Prime Minister Theresa May departs number 10 Downing Street for The Houses of Parliament. Dan Kitwood/Getty Images

After her third withdrawal agreement with the European Union was rejected Friday by the House of Commons, 344-286, British Prime Minister Theresa May reportedly intends to bring a fourth vote, while noting "grave implications" and seeking "an alternative way forward."

Friday's vote asked for approval of a 585-page withdrawal agreement from November by U.K. and E.U. negotiators.

An April 12 deadline now looms for the U.K. to provide the E.U. with a new plan or otherwise face the options of another postponement, a second public Brexit referendum that could revoke the exit, a general election for a Parliament shakeup or a sudden breakaway.

Many believe a fourth vote is unlikely. Labour leader Jeremy Corbyn would not say if his party has a plan to stay in the E.U. but that the "deal now has to change" and called for May's resignation.

May has said she would resign in exchange for support of a new deal.

"The way out of this impasse — as many of us have been saying for months and months and months — we must have a people's vote now," said Heidi Allen, interim leader of The Independent Group (TIG).

Scottish National Party leader Ian Blackford said that May "must look seriously at the option of revocation."

In a Twitter posting, Mina Andreeva, a spokeswoman for the European Commission, wrote that "sectoral mini-deals are not an option." She also said a no-deal exit "is now a likely scenario."

Some believe that Brexit, which was voted on in June 2016, could drag on for another couple of years.