Hi @ArtOfSpring,
Thanks for reaching out.
It is not quite clear why you are seeing the Add to Cart button on the Out of Stock product. In case that the Product is Out of Stock, the Add to Cart button should not be shown.
I have checked the given URL and found the issue you described, can you please check if the Add to Cart button is implied with the proper condition shown in the given screenshot.
If the condition is already there it might be something different reason behind that.
I would like to suggest troubleshoot the following common issue to help us to recognize the reason.
1.Theme Related Issue
2.Plugin Conflict
3.Theme Update related issue
4.Child Theme Related issue
5.CSS/JS Customization
If you discover that an issue is coming from a custom code or 3rd party plugin, kindly consult with a developer or contact the plugin author. Please note that we do not provide support for custom codes and 3rd party plugins.
If none of this helps, please provide login credentials for your site in a secure note to examine it further, including:
– WordPress Site URL & Login URL
– WordPress Admin username/password
To create a secure note, click the key icon underneath any of your posts.
Thanks