The increase of the amount paid in interest in one period over another isn’t so much “new” as recycled money, like any other expenditure. If it were otherwise, then government receipts would represent the destruction of money in like amount.
Government receipts, in any form, "ARE" destruction of money as they must be applied to the debt that created them. You are close to "getting" MMT.
Interest paid on bonds is, like any other spending, "NEW" money creation. The balance of spending to receipts is represented by bond issues for the purpose of destroying money in the private sector, not to "fund" spending for the one entity that never needs funding. Bonds are unnecessary and are only a temporary form of taxation that allow the wealthy to increase their wealth while not risking any of it.