I believe this method is one of the best, it requires some work, but gets great results.
You will create tutorials on how to build something, and within the tutorial, you can promote the API.
Let me give you some examples (show 3 examples)
how to build tools
how to collect data
You can always brainstorm Ideas with ChatGPT (show example prompt)
Where to publish?
Medium (personal and later on publications)
dev io
daily dev
Scale with your own blog and Youtube