@wolpertinger: You can simply hide the third sidebar in archive pages with CSS. Go to Dashboard=> Appearance=> Customize=> Additional CSS box and add the following CSS:
.archive #third-sidebar {
    display: none;
}
.archive.three-columns .content-sidebar-wrap {
    width: 100%;
    float: none;
}
.archive.three-columns #primary {
    width: 70%;
}
@media screen and (max-width: 1024px) {
    .archive.three-columns #primary {
        width: 100%;
    }
}
@media screen and (max-width: 1024px) and (min-width: 768px) {
    .two-columns #secondary .widget:nth-child(2n+1), .three-columns 	#secondary .widget:nth-child(2n+1) {
        clear: both;
    }
    .two-columns #secondary .widget, .three-columns #secondary .widget, .three-columns #third-sidebar .widget, .three-columns.equal #third-sidebar .widget {
        float: left;
        margin-left: 20px;
        width: 47.2%;
    }
    .widget {
        clear: none;
    }
}
If you want to remove it completely through code, I recommend you to hire a customizer.
Regards,
Mahesh