Congress passes the budget since they have the power of the purse. Presidents have requested all sorts of nonsense to appease the base.
For FY26, when we had a PBR proposing massive cuts followed by a government shutdown with a long stretch where NASA didn't know what their real budget was going to be, we saw a bunch of layoffs and project cancellations in preparation for a budget that might resemble what the president was requesting. Whether or not that was legal is in question:
https://democrats-science.house.gov/imo/media/doc/SST%20Mino...
First year civics: the legislative branch passes the budget, the executive branch is the one that actually spends it. Or doesn’t, in which case you have a constitutional crisis.