My fiancee is British and am asian. am currently on a tier 4 visa expiring by the end of this month. We were thinking of applying for a fiancee visa to join my partner(from my country) get married in UK and then switch to the spouse visa. Is this possible? IS marriage visitor visa different from a fiancee visa? and can I apply to extend my visa to remain as an engaged partner and get married? The following link says I can extend my stay to get married? Please advice as I am truly confused!

https://www.gov.uk/join-family-in-uk/extend-your-visa