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I want to customize <head> tags, add my own structured data snippet, instead of generated by Yoast. And how to gain overall control of <head> tags contents over pages. How this will be done without and with SEO plugin.
If you want to add your own tags to WordPress pages use the wp_head action.
To modify or remove <head> elements being added by Yoast you'll need to use the filters they provide. As documented in that link you can modify the page title, author, keywords and more.
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