What exactly do you think a budget is?
There's a reason the federal budget is several inches of very thin paper. The budget spells out how much money gets spent for various purposes, programs, projects, etc. Of course they don't specify the kind of paperclips the FAA buys. But they will approve or modify the FAA's budget plan which includes $X for office supplies, $Y for an upgrade to the FAA's network equipment in a branch office, $Z for upgrading some nav beacons, and so on.
The executive branch can't defund or "stop spending money on" anything. Nixon decided he just wouldn't spend money on programs he didn't like, and congress very rapidly passed a law that said that the president couldn't do it, because the "power of the purse" rests solely with congress.
It certainly can't stop issuing payments for existing obligations, and it especially can't take money back, which M did a day or two ago to NYC because he read a tweet that said NYC was spending money housing migrants in "luxury hotels", which shockingly turned out to be nonsense...
That's why all of this DOGE crap is such theatrical nonsense. Congress, representing their state's interests and the interests of those who live in their district, via two separate branches, approves all the budgets.
No matter what T and M say, no federal agency can just willy-nilly decide to spend money it's allocated by congress on other stuff.