>>105700072
just search for heat gun and sort by price, it's the shitty looking stick with a red clear plastic tip. it's basically the cheapest heat gun money can buy.
also a tip for desoldering analogue sticks, add leaded solder to all the solder joints before you do anything and make them bigger. then get a bendable piece of copper wire or steel wire and cut/bend it to a shape that makes contact with all the solder joints and then heat the piece of wire to melt all the pads at once. grey dots in the pic are the pads and the black line is the piece of wire, heat the wire with your soldering iron.
it's genuinely easier than a heat gun because you have to kapton tape off other board components so they don't melt.