Does the CARES Act payment count as a stimulus payment? (Asked earlier but with better details this time)

In January to May of 2020 I was a full time student so I could be claimed as a dependent. Therefore I did not get the 1200 stimulus check. However, I received 1500 from the CARES act.
So when I am asked if I got a stimulus payment in 2020 do I say 'yes' and enter '1500' or 'no' and get 1200 as a tax refund?
And since I am no longer a student I can not be claimed as a dependent, so can I get the 1200 stimulus?