The diagram below shows three points in time:

$-$ Initial$-$shows a solid disk spinning counterclockwise as a box of equal mass is falling;

$-$ Middle$-$the box lands and sticks to the spinning disk;

$-$ Final$-$ shows the box walks to the center of the spinning disk.

Comparing the Middle to Final, which system has a larger angular kinetic energy?

Final

Middle

Same for both