Canada

Not yet, we still have hope it won't happen.

Our system is a bit different. We elect a party and that party has a leader. The leader of the elected party is the Prime Minister. The leader can step down and the party stays in power and selects a new leader, who then becomes Prime Minister. Trudeau stepped down and his party selected Carney to replace him, so we have a new prime minister and maintain a centrist government. (Centrist to us, left wing to the US.)

We can also have elections at any time, either by choice of the party in power, or forced by the opposition parties if they have enough seats in the government. Our current party in power, The Liberals, don't have a majority, so they've been maintaining power by making deals with a left wing party (the NDP or New Democratic Party). Liberal + NDP is one seat or so from a majority right now, so they've been finding additional support from other parties. This has actually worked out pretty well, as it has forced the government to be a little more proactive and given the left a good amount of power. There is always the threat of losing power and having to make different parties happy.

If the NDP (or others) decide they don't like Carney, they can force an election and then we will have the chance of getting that Conservative government you were worried about. Most likely they will wait a bit to see how things are going before doing that because their worst fear is forcing an election and ending up in a worse position (a Conservative majority.) If you hear that Canada has a new Prime Minister named Poilievre in the next year, you'll know we just ran into the same shit you guys did.

Election hasn't happened yet but Trudeau is stepping down.