Not to mention, if you want to make sure that the waste won't be left just orbiting in the solar system or irradiating Venus or something then you need to eithe

Not to mention, if you want to make sure that the waste won't be left just orbiting in the solar system or irradiating Venus or something then you need to either bring its orbit down into the surface of the sun or accelerate it to the point that it escapes from the solar system entirely. Fun fact, it actually takes less energy to escape solar orbit entirely than it takes to reach the sun.