You can easily disable express checkout methods like PayPal Express and Apple Pay by adding the following code to your storepickup-addons.liquid file within your theme.

<script type="text/javascript">
$(document).ready(function() {  
  window.ZapietEvent.listen('selected_method', function(method) {
    if (method == "pickup") {      
      $('.additional-checkout-buttons').hide();
    } else {
      $('.additional-checkout-buttons').show();
    }
  });
});
</script>
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