SELECT 
  cscart_product_prices.product_id, 
  COALESCE(
    cscart_master_products_storefront_min_price.price, 
    MIN(
      IF(
        cscart_product_prices.percentage_discount = 0, 
        cscart_product_prices.price, 
        cscart_product_prices.price - (
          cscart_product_prices.price * cscart_product_prices.percentage_discount
        )/ 100
      )
    )
  ) AS price 
FROM 
  cscart_product_prices 
  LEFT JOIN cscart_master_products_storefront_min_price ON cscart_master_products_storefront_min_price.product_id = cscart_product_prices.product_id 
  AND cscart_master_products_storefront_min_price.storefront_id = 1 
WHERE 
  cscart_product_prices.product_id IN (
    189, 192, 168, 188, 203, 196, 3, 165, 167, 
    221, 166, 184, 193, 224, 160, 820, 169, 
    200
  ) 
  AND cscart_product_prices.lower_limit = 1 
  AND cscart_product_prices.usergroup_id IN (0, 1) 
GROUP BY 
  cscart_product_prices.product_id

Query time 0.00062

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost": 0.046549395,
    "nested_loop": [
      {
        "table": {
          "table_name": "cscart_product_prices",
          "access_type": "range",
          "possible_keys": [
            "usergroup",
            "product_id",
            "lower_limit",
            "usergroup_id"
          ],
          "key": "usergroup",
          "key_length": "9",
          "used_key_parts": ["product_id", "usergroup_id", "lower_limit"],
          "loops": 1,
          "rows": 36,
          "cost": 0.03471556,
          "filtered": 20,
          "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.product_id in (189,192,168,188,203,196,3,165,167,221,166,184,193,224,160,820,169,200) and cscart_product_prices.usergroup_id in (0,1)"
        }
      },
      {
        "table": {
          "table_name": "cscart_master_products_storefront_min_price",
          "access_type": "eq_ref",
          "possible_keys": ["PRIMARY"],
          "key": "PRIMARY",
          "key_length": "8",
          "used_key_parts": ["product_id", "storefront_id"],
          "ref": [
            "u428615623_ecartifygonje.cscart_product_prices.product_id",
            "const"
          ],
          "loops": 7.2,
          "rows": 1,
          "cost": 0.007259168,
          "filtered": 100,
          "attached_condition": "trigcond(cscart_master_products_storefront_min_price.product_id = cscart_product_prices.product_id)"
        }
      }
    ]
  }
}

Result

product_id price
3 45.00000000
160 2.00000000
165 28.00000000
166 23.00000000
167 25.50000000
168 28.50000000
169 10.00000000
184 8.00000000
188 30.00000000
189 38.00000000
192 38.00000000
193 38.00000000
196 33.00000000
200 43.00000000
203 28.00000000
221 23.00000000
224 23.00000000
820 10.00000000