Oh hell yes. And sooner than you think. By my count you have 4 years and 3 months left, and the countdown only goes one way.
How long until AI replaces budget analysts?
4 years and 3 months. I'd start updating that CV, but I can also do that for you.
Which budget analysts tasks will AI take first?
The ones that already happen on a screen, starting with: analyze monthly department budgeting and accounting reports to maintain expenditure controls. The rest follows.