Full BK and Outside Scholarships

I don’t quite understand. So, say COA is 25,000 and I got full 21,000 along with a 5,000 dollar external scholarship. That means 1000$ is taken off from BK so I get 20,000$ BK and 5,000 scholarship, adding up to perfectly pay off the COA. … so where is this taxable money coming into play?

Does the taxable money only apply if I were to get, say, a 40,000$ external scholarship and 15,000 would go to my bank account for free spending but is taxed?