Get general taxonomy name for a Custom Post Type

I think wp_get_object_terms() is what you are looking for. Take a look into this:

$data = wp_get_object_terms( $object_ids, $taxonomies, $args );

This will retrieve the associated terms with an object. For further reading, check this page from WordPress Codex.

PS: For a detailed answer, please share your code and research with us.

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