My Constellation 168.005 was just delivered today. However, I'm scratching my head on how to remove the bracelet (it looks like a cheap generic bracelet). There's no slot to remove the spring bar. My springbar removal tool also doesn't fit between the lugs and the bracelet.
My gut reaction is also that some heathen has use shoulderless spring bars and a bracelet that’s the devils bloody work on a case without lug holes. Cut it off!
If you don't want to save the bracelet. Take a small screwdriver and pry open the bracelet to allow access to the pin. If it's a cheapie, it should come apart pretty easy.
Thinking back I should have broken out the Dremel with a metal cutting wheel. Probably would have been faster without the added risk of damaging the watch.