I don't think it would. From what I understand, Bridge mode often turns off access point mode. But some devices can do both simultaneously. If you want just advantage then you'd at least need that. Then the only advantage with Bridge mode is the ability to connect 2 Bridge mode devices / Wireless Bridges to each other wirelessly. If you only have one such device and no other device also in bridge mode to connect to it, then you don't really gain anything. Besides the fact that you probably don't have a problem necessitating it.
The idea of it is if you have computers far apart, and a poor connection, they can't wirelessly reach your access point, then one possible solution, though an expensive one, is a pair of Wireless Bridges. Some do one on each floor. Computers could then connect to it with a wire, or if it can do AP with that, then wirelessly to the AP aspect of it.
For the wireless bridges to connect they I think need to be compatible, and that may require the same make.
Here is a manual for the DLink DAP 1360 it has some good pictures early on.
Note- I don't know if 3 wireless bridges can connect.. like top floor and bottom floor connect to central one. Pairs can definitely connect though, so an even number.
But the fact is that since your computers can reach your access point wirelessly, you have no advantage in a wireless bridge and if you wanted to do it you'll need 2.