Government debt is not the same as individual or corporate debt. Most of the US’s debt comes in the form of issuing Treasury Bonds, and most of the debt is owed to the American people. The US also controls its own money supply in which that debt is denominated.
Also, spending is only part of why debt goes up. A huge portion of the US debt has been created through tax cuts, e.g. the $1.5 trillion Ryan-Trump tax cut for high earners early in Trump’s presidency