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To make Divi Theme’s slider button links open in a new tab, you can add the following into the footer.php file (of the theme itself, or a child theme):

<script>
jQuery(function($){
    $('.et_pb_more_button').attr('target', '_blank');
});
</script>

This is available as an option in Divi Booster. You can find the option on the Divi Booster settings page under “Modules > Slider > Open slider links in new tab”.