While trying to upgrade from 14.04 to 16.04 the updater looks like it's removing ia32-libs (okay, fine, I don't care) and third party apps that list it as a dependency. That is not okay.
How do I make it not remove my apps?
Note: the reason I'm extremely reluctant to allow this is that I have reason to not trust that reinstalling it after the fact will work correctly, if at all. (Among other things, I can't find anywhere that I can install the exact current version from!)