Hard mode: buy all the Colonies as well.
Ferry and Pathfinding on King's Court; hand is King's Court, King's Court, University.
KC1 plays KC2, first KC2 play on Uni, gaining KC3, KC4, Ironworks1.
At this point, we have two KC plays. Each of these draws one of the just gained cards, then KCs it. At least one of these must be a KC, allowing us to draw and KC the third. When we KC Ironworks1, gain Bridge, Bridge, Ironworks2. So after playing KC3, KC4, IW1 the situation is:
5 KC plays available, discard is Bridge, Bridge, Ironworks2.
If the next card drawn from a KC is the Ironworks2, don't play any action, and draw another. KC one Bridge and then the Ironworks, gaining KC4, KC5, Ironworks3. This used 3 KC plays (maybe 2 with good shuffle luck).
So the situation is:
2 KC plays available, one Bridge in hand, discard is KC4, KC5, Ironworks3, one KC-Bridge played.
As before, 2 KC plays is enough to draw and KC all three of these, using up one of the plays from a drawn KC. When we KC the Ironworks3, gain 3 Bridges. So the situation is now:
5 KC plays available, one Bridge in hand, 3 Bridges in discard, one KC-Bridge played.
3 KC plays draw and KC 3 Bridges, one KCs the Bridge in hand. We've played 5 times KC-Bridge, making cards cost $15 less and giving us 1 + 15 Buys with which to buy out the Colonies and Provinces.