So you're going to need to change the plug. If you look on screwfix or somewhere then you'll find two types of blue plugs like that, 16 and 32 amp. 16s are physically smaller than 32, so make sure you get the right one.
Now you could, in theory, wire a 3 pin plug to a socket and plug that into the wall. You will almost certainly trip the fuse at the board though. You'll need an electrician to install a dedicated 32amp supply to run that thing, so new fuse at the board, cable out to socket, plug in and go. That's probably gonna mess with the ol' tenancy agreement.
Tldr, don't plug it into the wall and try to weld anything. Talk to a proper sparky. Try not to get electrocuted.