I won. In your scenario, the other team would have had to sub, not the FT shooting team. And that should have been done before the shots were taken.
But I wasn't thinking about the .1-.9 seconds they could have tried for a 4-pt play, however unlikely that is.
Actually its pretty f-ing close to impossible to sink a 3 pt half-to-full court shot while getting fouled with less than 1 second on the clock.