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Funded by taking on debt. Using new debt to pay back old investors. I think there is a name for this strategy?
Smart. Why wouldn’t you do this in sustainable amounts. For example many Americans don’t pay off their mortgage as the money is better put in investments long term. Why should our country be any different?

Why shouldn’t the government borrow money at low rates to spend in ways that raises gdp generating new tax revenues that are higher than the interest paid for said loan?

Because gov spending is not limited to only that which has a positive economic return. If it was we wouldn't have this problem.
They may not pay it off, but they have to at least make monthly payments to pay the principal down. For good reasons no bank is going to give a mortgage holder an ever-increasing line of credit on a home mortgage.
But only because the mortgage holder is going to die one day. That's the big difference between you and a corporation or nation. The country can revolve its debt forever.

There is a limit to how much debt it can support, but it's determined only by that country's productivity and tax structure. As long as it can pay the interest, it can keep growing its debt.

Eventually that reaches equilibrium, but there's no reason for any particular $BIGNUM to be the equilibrium point. It's currently around 10% of all spending, which strikes me as a large but not unsupportable number.

You can get an interest only mortgage.
It's more like the wealthy's "buy, borrow, die" strategy [1] without the cumbersome "buy" part. Japan's debt to gdp is almost 200% as the population decline continues. Confidence won’t evaporate until the market determines productivity can’t meet the yield bought. Somebody is going to be left holding the bag, but it ain’t anybody investing today.

[1] https://www.youtube.com/watch?v=8pBPZMUcsh0

Refinancing old expensive debt with cheaper debt, while waiting for inflation and economic growth to devalue the priciple. It standard and pretty sensible.
In french we call it "une cavalerie". I did not find an english word.
We should start issuing perpetuities at extremely low rates to take advantage of this while it lasts.
But what's even better than a perpeptuity is a zero coupon perpetuity.

We could even make a small, green, square certificate and put a president's head on it.

It would still have to show up as debt on the government's balance sheet.
Great plan! But why not $5T/Y? After all, that is all "investment" that will pay for itself, right?

The other question is: is the world planning on buying that garbage for the next 10 years and sitting on it "earning" negative interest?

I don't think so.

As far back as I can remember people have been telling me the national debt would come back to bite us, but it hasn't happened yet. Things like the 'debt ceiling' are at best no better than a New Years resolution that gets quickly forgotten, but more likely just an opportunity for politicians to get additional audio and video clips for their next campaign. The government will spend whatever it wants.