The pressed sauce went back in the pot with all the spices and simmered until thick and reduced.
I ran it through the press twice more after a phone call from a friend where she mentioned that this would make it super smooth and shiny. I added some sugar, salt and vinegar and cooked it down some more.
And then, since it had been brought to my attention and all of a sudden I wanted it super smooth, I zipped it up with my hand blender and got it even smoother.
It turned out to be gorgeous. Pure deliciousness...and I don't even like store-bought catsup.