Deficit spending doesn't create new money. Deficit spending borrows existing money from the population and institutions in exchange for a promise of future government revenues. The Fed does not participate in treasury primary auctions and does not monetize the debt as a means of funding government operations.
If you printed new money to pay for the government, you wouldn't have a debt. That's double-counting. Not to mention the debt is twice as large as the entire money supply so what you're suggesting isn't even physically possible. It would be inflationary to simply print new money to finance spending, which is exactly why it's not done.
[edit] Also the debt limit is a stupid concept that's likely unconstitutional. Congress authorizes spending, meaningful debate over paying for it by adjusting the debt limit likely falls afoul of the 14th amendment's public debt clause. But yeah I mean the debt limit goes up because the government spends more money than it takes in, so it needs to borrow more each year.
The Fed doesn't have nearly as much control as folks think.
The Fed directly created money during QE and they are directly destroying it during QT. There's a net add, but that's mostly because the economy is growing, which creates new demand for money as expressed by demand for debt.
The money supply staying fixed or shrinking is a non-goal anyways. It's irrelevant. What matters is inflation as measured from the change in actual prices.
That new money is different from the new money the central bank creates to push interest rates down. That later one the US has been destroying. But both do many of the same things (but not all).
The conversation always goes like this.
You: "The government is lying about inflation!"
Me: "Ok, what rate do you think it's actually been?"
You: "10%!"
Me: "So you're telling me inflation over the last 30 years was 1700%? So prices are now 17X higher than in 1995? You sure?"
Then we look up historical prices like this.
https://www.tasteofhome.com/collection/this-is-what-grocerie...
In 1995 ground beef was $1.49/lb.
Bread was $.89/loaf.
Eggs were $0.92/doz.
Milk was $2.50/gal.
idk if you're shopping at Erewhon but where I shop ground beef isn't $25/lb, bread isn't $15/loaf, eggs, well, you got me there lol, and milk isn't $42.50/gal.
Unless the conspiracy is far bigger than we think, or "they" are everywhere, whoever "they" are, I think it's safe to assume that inflation numbers have been pretty accurate.
Think about it this way: if money were just created to fund the deficit why would we have a debt? That's double-counting. You can invalidate your hypothesis very easily: the M2 money supply is about half the size of the debt. It's not possible to square that circle unless deficit spending was re-pledging existing money.