Only the back portion was originally made from the TMP/TWoK bridge set - the front and side walls were all new fabrication. Then something happened to the back wall at some point and they replaced it with a different one that also got reused a bunch of times for different things, both as computer panels and as just light fixtures. I think most of the consoles and center chair got used in basically every bridge set redress I can think of.Darn, I knew I should have checked ex astra sciencia first.
Though after checking,it turns out we're both right/wrong, as the battle bridge was actually the bridge from the TOS films redressed for TNG, rather then a set built for TNG. But as they only used it 3 times in the series as the battle bridge, they probably didn't get much value out of whatever battle bridge specifical props and bits they purchased.