Sell the land to a developer and make the bridge privately owned or announce $100,000 a day early completion bonus.
Problem solved.
Wasn’t that an incentive to get the Bay Bridge in CA repaired after the 1989 earthquake?
Some may recall a few years back there was an overpass collapse on an expressway that was critical to traffic movement. The people screamed at the politicians to get that road fixed and get it fixed yesterday! So the politicians bid out the job to a well-known construction guy with a contract that had an early completion clause of some huge amount of money. The guy built the overpass in something like 30 days less than the estimate and subsequently accepted the several million dollar bonus.
Of course then the people screamed about why the bridge cost so much, that the builder was a greedy S.O.B, etc.