Any suggestions as to what to do next?

background: I opened the lid of the compost bin this weekend and found
all these white triffid-like tendrils reaching up out of the dark.
Very scary. I traced them to a few rotten spuds I chopped up a while
ago. I haven't done anything about it yet... but growing spuds wasn't
exactly part of the game plan - tiny garden, etc

I've read earlier threads about why not to put potato peelings on the
heap, but since a) it's too late and b) I don't have a veg plot , I'm
wondering what to do now and what this means about my compost (this is
my first year gardening).

Is the silo too dry? cold? something else? Will the spuds leech
nutrients for their growth? (one shoot had even squeezed out through
the hatch at the bottom and sprung a leaf already).

If left to grow, will they produce more potatoes? In how long? And
without any light? Or will this just take up all the space in the bin?

Many thanks for any advice.
Katharine