own office space?

[SimpleAsABC]

What a hut, that you'd have electricity in (ala an office/ log cabin) in the garden, would be called?

Thanks!

Office/Summer House. I would call it an Office.

Garden Office? There's a big diff between log cabins & home offices ito levels of insulation, I think.... few here and here

When I worked for a toy firm, we used buildings from Homestead Timber Buildings ended up buying 5 of them. One even got relocated at one point.
They are not that cheap but are insulated a bit, so don't get quite as cold as a summerhouse that you may buy from a garden centre (had two summerhouses over the years as my office, freezing in winter, hot in summer).
Homestead call their office buildings, Garden Rooms!