Another example is a person who borrows money and spends it on home improvements. He or she still has to pay back the money and the interest, but if the value of the improvements is greater than the cost, that money can be recovered later by selling the house. Or that person could have spent the money on... nothing. That might have been fun, but it still needs to be paid back...
A government that issue its own currency is not limited in the same way that a household.
A government, that issue its own currency, could spend (constrained by the real resources available) without creating debt at the same time.
It's true that it would be wise to spend in creating more real capacity in the economy, instead of digging holes and fill them again.
That's not true. Inflation could be though as a ratio between the money in circulation and the productivity in the economy. If you increase both, numerator and denominator you don't get inflation.
Also, "printing money" doesn't create inflation. Spending it when there is not enough available resources can create inflation.
If you have doubts, check the QE programs of the FED and the ECB (ongoing).
In fact, the more famous episodes of hyperinflation are originated because a collapse in the productive economy (the denominator), and not because an increase in money (the numerator).
If real resources are increased, a 'space' is generated for spending, and it would be a real pity if that opportunity is wasted.
What makes something crap rather than an asset? How could they have done it "the right way"?