No one gave their word or signed an agreement with another party.
They can play their games and try to score points but legislation is not in danger because the Conservatives won't get enough votes to topple the government and if they do, JT will be quite justified in going to the GG and asking for an election.
“Written agreement” with another political party? That sounds really naive in a minority government situation. The people of BC obviously didn’t think that the agreement had much force.
And as soon as the Cons think they can win an election, they will do everything in their power to force an election. That’s no different, and you would be cheering it on.