So... the ANT and the construction mechanic is largely useless right now, because it can't be used to augment base defense/offense. You can't get anywhere near a base to deploy your ANT, even if you're way out away from it. Devs, please let us build closer to bases!
They might do some tweaking to the radius at some point, but the thing is, if they are too close to a base, then both the main base and the constructed base will be able to defend each other and they will both be uncapturable. We already have people complaining that some player built bases are virtually indestructable without pulling the entire faction in to help.
There might actually be a bug here. I've seen people build stuff in bases. Not around them, but IN them.
