Adding the correct shipping price with discounts

Use correct_shipping_price variable for your shipping. This takes into account the discount adjusted price for shipping when it's discounted using Shopify scripts.

{% if requires_shipping %}
  {% assign complete_line_item_discounts = 0 %}
  {% for line in subtotal_line_items %}
    {% if line.original_line_price != line.final_line_price %}
      {% assign temp_discount = line.final_line_price | minus: line.original_line_price %}
      {% assign complete_line_item_discounts = complete_line_item_discounts | plus: temp_discount %}
    {% endif %}
  {% endfor %}
  {% assign shipping_discounts = total_discounts | plus: complete_line_item_discounts %}
  {% assign correct_shipping_price = shipping_price | minus: shipping_discounts %}
{% endif %}