Amna - when a joint owner dies, irrespective of whether they are joint tenants or TIC, the legal ownership passes to the surviving owner to deal with. The legal ownership does not form part of the estate of the deceased so probate is not required with regards the property.
If the surviving joint owner also dies then probate for them is then needed and it is their executor(s) who then deal with the property
Our online assisted guidance explains what is required to then transfer the legal ownership as appropriate
HMLR Guide: Start - External · HM Land Registry