And what the UK wants is not a free trade agreement, they want the same acces that they have now.
the UK wants an "ambitious free trade agreement", not membership of the single market, if you don't believe me see https://www.gov.uk/government/speeches/the-governments-negot...
So we do not seek membership of the single market. Instead we seek the greatest possible access to it through a new, comprehensive, bold and ambitious free trade agreement.