Happened to me a couple of times also. I do remember that this skip only occured whenever I resetted the run, but never with a fresh game start-up, so maybe resetting causes this part of the game to glitch out. Can't say with certainty. Might test this out to see if there is actually a consistent way to skip the takeover
Appears to be completely random. Resetting the run didn't help, same with entering the bridge area when the gangsters are already fighting
Edit: restarting from last checkpoint does not effect this also
So after doing a bit more of investigation, I have found out that the bridge skip is not actually RNG-dependable. It is consistent, and to make it happen, you have to start a new game -> complete the bridges takeover mission -> return to the menu immediately and start a new game from that same exact save file. The territories will carry over to the new game. Not sure if this should be allowed in any%, because this glitch does not happen if you start a game normally and the only way to skip the bridges is to complete this part of the game and then reset