Production should use the build pipeline
Tailwind generates CSS based on the classes it detects in your source. A production build should run Tailwind as part of the application's normal build process and produce the CSS artifact that the deployed site loads.
Do not ship a development playground
Play CDN is useful for learning and experiments, but a production application should normally use the compiled build output.
Keep source detection correct
If a production build is missing styles, first verify that the relevant source files and complete class candidates are being detected.