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Hi. I will need to know the distance to give you a wire size.
You don't need to run 240 volt but the wire size will be smaller so usually it will be better to do so.
80 ft is OK and won't change wire size.
You need #10 copper. but you MUST run a ground and install a local ground rod at the shed.
So either 2 wire plus ground for 120 volts or 3 wire plus ground for 240 volts. I recommend a small 4 circuit sub panel ($10) then a driven ground rod connected to the ground bar. The ground bar is ADDITIONAL to the neutral bar and should have only ground wires attached to it. NOT as it is wired in your main panel.
So does this sound correct?:
am I forgetting anything?