So if I get all of this correct:

Trump signed a COVID relief bill.
Trump vetoed the NDAA bill.

Now both the House and the Senate wants to override Trump’s veto of the latter.

So the House adds to the override a bill to make the individual COVID payments to $2k.

But isn’t there now a procedural problem with the Senate? Doesn’t the Senate have to vote to over-ride on the originally vetoed bill?