The badge, placed correctly
This is what a vendor's page should contain: the badge image wrapped in a normal link to the vendor's HokAI record. The listing check looks for exactly this.
<a href="https://hokai.io/hub/tools/your-tool" title="Listed on HokAI">
<img src="https://hokai.io/badges/listed-on-hokai.svg" alt="Listed on HokAI" width="172" height="40" loading="lazy">
</a>Replace your-tool with the last part of your listing's URL. Do not add rel="nofollow": the link is the listing.