Congratulations!
Either gun is a fine choice. The Cynergy has a low profile action and is quite cleverly designed. The 'classic' stock removes most of the objections raised by those who didn't like the gun when it first came out. The 625 is of course the traditional Browning style O/U, essentially a Japanese made Superposed with monobloc barrels and better steel.
It might come down to weight. Or feel. Or whatever.
The 625 is a bit on the heavy side, but you might want that if waterfowing is your game.
Tough choice.