You need to have before your builders will start pushing the statue.

There are several parts to this puzzle beyond the required research levels, and they must be done in order. Since it's not clear which parts you have done so far, it's hard to tell you exactly what you need to do next. Kathy's hint is a good one, but only after you've done other steps first.

Since you have the latest version of VV3, it's not likely that a bug is preventing you from completing the statue. A good thing to do at this point would be to look at our free Official VV3 Guide. The puzzle solutions in there will show you what you're missing.