Looking to exclude blog posts from category Previous/Next buttons

You can exclude categories from your posts page using pre_get_posts

function exclude_category( $query ) {
    if ( $query->is_home() && $query->is_main_query() && !is_admin()) {
        $query->set( 'cat', '-1347' );
    }
}
add_action( 'pre_get_posts', 'exclude_category' );

Might be better to use the category slug or I.D. Same with the tag.

There’s also 5 parameters you might want to look at for previous_post_link and next_post_link