From the get go you want to try take as many moves as you can without going over budget.
It’s a little bit tricky that getting exact budget is the goal rather than getting under budget.
If you’re under budget you get punished for the next rounds by having as much as you’d used when you went under.
So if you took 4 moves and spent 4 of your budget, that means next time you’ll only get a budget of 4. But with increase cost of move that means you can’t actually get in under budget anymore.