I’ve personally considered a thing that requires multiple people to operate it takes it out of the realm of personal property, or at least that seemed like an easy way to categorize things (though I haven’t given it tremendous thought, so I’m sure there are many edge cases where that doesn’t neatly fit). So like, assuming communism was already implemented successfully, if someone wanted to take up the hobby of blacksmithing and there wasn’t a life threatening critical shortage of the materials that make up an anvil (which there probably wouldn’t be), then a single Anvil, despite it being able to produce things, could still be that person’s personal property to do with as they please (though you could also argue that in denser areas a collective workshop could be set up instead).

Assuming there isn’t an active famine or food shortage, then I also wouldn’t see the harm in someone farming an amount of land they can effectively cultivate themselves without industrial sized equipment (which would be better served in a collective farming situation), such as if they live in a rural area. For more dense areas like cities, then It’d probably make more sense for any urban farming to be larger community gardens, but people could still probably have personal gardens on balconies or back yards if they happen to have one.

I think Caroline in Stardew has a small greenhouse attached to her home where she grows various things, I think that would pretty safely be considered personal property.

But assuming the main Stardew Farm is indeed the only source of local sustenance to the town, then yeah I’d agree it probably shouldn’t be personal property.