Solved Is this a Physalis?

This plant popped up in one of my tomato pots and https://identify.plantnet.org/ says Cape Gooseberry. Do you think they're right? The leaves are furry and don't have a noticeable odour. Presume it won't last the winter so isn't worth keeping?

I've also had masses of strawberry plants appear in my pots. I only grow alpines, but these are the type that throw off runners and have been chucking them out in all directions - very vigorous.

Can only assume the birds have been feasting on a neighbour's crops and pooping them out in my pots!

 

It does look like one.
It will survive if you can keep it just frost free.

 

Thanks Pete, I have a cold frame so will stick it in there when it gets colder. Nothing lost if it doesn't survive.

 

The other thing it might be is a relative of physalis, shoo fly plant, Nicandra physalodes which does sometimes pop up from nowhere. In which case it is a hardy annual which grows to about 4 to 5 feet and has attractive mauve flowers. Don't eat the fruit, they are poisonous!