For an angular project I recommend to migrate all scss to css. I did that and I executed the migration tool and the tool did the migration of my "old" tailwind.config.cjs to the main styles.css in my angular app. Then I installed the packages you need to install. Finally, the app is running fine without any issue. Later I think I can improve the styles.css because all of my added colors are in that file, but for now the app is running.

Note: I was using scss files because in that repo I do some explorations (I know that If you decide to use Tailwind you don't even need a css file, you only need to apply Tailwindcss classes)