If DOGE is successful (weeding out unproductive or fraudulent Federal spending) - I would expect the GDP to show a recessionary pattern in the short term: reducing this kind spending directly reduces the GDP (as wages are removed from the total figure). Over time, the people losing their (relatively unproductive) job will find new, hopefully more meaningful jobs and GDP will pick-up again.
Looking at only GDP growth makes no sense if growth in total Federal Debt is not taken into account. Statistically it's easy to inflate GDP numbers with borrowed money that's pumped into '
b*llsh*t jobs' (that's a real word in Economics, but the CF forum software won't allow me to spell it out). When those jobs are culled - the reverse will happen: lower (short term) GDP but also less budget deficit/debt, and over time .. more people available for actual productive positions.
In Australia a similar thing has happened under the current Labour Government - virtually ALL recent job growth was for Government funded operations.