SELECT 
  a.shipping_id, 
  a.company_id, 
  a.min_weight, 
  a.max_weight, 
  a.position, 
  a.status, 
  a.tax_ids, 
  a.usergroup_ids, 
  b.shipping, 
  b.delivery_time, 
  c.company AS company_name, 
  storefront_id 
FROM 
  cscart_shippings AS a 
  LEFT JOIN cscart_shipping_descriptions AS b ON a.shipping_id = b.shipping_id 
  AND b.lang_code = 'en' 
  LEFT JOIN cscart_companies AS c ON c.company_id = a.company_id 
  LEFT JOIN cscart_storefronts_shippings AS storefronts_shippings ON storefronts_shippings.shipping_id = a.shipping_id 
WHERE 
  1 = 1 
  AND (
    a.company_id = 696 
    OR a.shipping_id IN (
      129, 100, 98, 10, 9, 77, 44, 19, 12, 43, 
      48, 49, 78, 96, 97, 38, 45, 46, 47, 40, 
      39, 17, 42, 11, 23, 24, 116, 86, 85, 84, 
      83, 82, 81, 80
    )
  ) 
  AND (
    storefronts_shippings.storefront_id IN (1) 
    OR storefronts_shippings.storefront_id IS NULL
  ) 
ORDER BY 
  a.position

Query time 0.00177

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "577.49"
    },
    "ordering_operation": {
      "using_temporary_table": true,
      "using_filesort": true,
      "cost_info": {
        "sort_cost": "251.68"
      },
      "nested_loop": [
        {
          "table": {
            "table_name": "a",
            "access_type": "ALL",
            "possible_keys": [
              "shipping_id"
            ],
            "rows_examined_per_scan": 176,
            "rows_produced_per_join": 96,
            "filtered": "55.00",
            "cost_info": {
              "read_cost": "18.84",
              "eval_cost": "19.36",
              "prefix_cost": "38.20",
              "data_read_per_join": "223K"
            },
            "used_columns": [
              "shipping_id",
              "company_id",
              "min_weight",
              "max_weight",
              "usergroup_ids",
              "tax_ids",
              "position",
              "status"
            ],
            "attached_condition": "((`webmarco`.`a`.`company_id` = 696) or (`webmarco`.`a`.`shipping_id` in (129,100,98,10,9,77,44,19,12,43,48,49,78,96,97,38,45,46,47,40,39,17,42,11,23,24,116,86,85,84,83,82,81,80)))"
          }
        },
        {
          "table": {
            "table_name": "b",
            "access_type": "eq_ref",
            "possible_keys": [
              "PRIMARY"
            ],
            "key": "PRIMARY",
            "used_key_parts": [
              "shipping_id",
              "lang_code"
            ],
            "key_length": "9",
            "ref": [
              "webmarco.a.shipping_id",
              "const"
            ],
            "rows_examined_per_scan": 1,
            "rows_produced_per_join": 96,
            "filtered": "100.00",
            "cost_info": {
              "read_cost": "96.80",
              "eval_cost": "19.36",
              "prefix_cost": "154.36",
              "data_read_per_join": "93K"
            },
            "used_columns": [
              "shipping_id",
              "lang_code",
              "shipping",
              "delivery_time"
            ]
          }
        },
        {
          "table": {
            "table_name": "c",
            "access_type": "eq_ref",
            "possible_keys": [
              "PRIMARY"
            ],
            "key": "PRIMARY",
            "used_key_parts": [
              "company_id"
            ],
            "key_length": "4",
            "ref": [
              "webmarco.a.company_id"
            ],
            "rows_examined_per_scan": 1,
            "rows_produced_per_join": 96,
            "filtered": "100.00",
            "cost_info": {
              "read_cost": "96.80",
              "eval_cost": "19.36",
              "prefix_cost": "270.52",
              "data_read_per_join": "921K"
            },
            "used_columns": [
              "company_id",
              "company"
            ]
          }
        },
        {
          "table": {
            "table_name": "storefronts_shippings",
            "access_type": "index",
            "key": "idx_storefront_id",
            "used_key_parts": [
              "storefront_id"
            ],
            "key_length": "4",
            "rows_examined_per_scan": 13,
            "rows_produced_per_join": 251,
            "filtered": "20.00",
            "using_index": true,
            "using_join_buffer": "Block Nested Loop",
            "cost_info": {
              "read_cost": "4.96",
              "eval_cost": "50.34",
              "prefix_cost": "325.81",
              "data_read_per_join": "3K"
            },
            "used_columns": [
              "storefront_id",
              "shipping_id"
            ],
            "attached_condition": "(<if>(found_match(storefronts_shippings), ((`webmarco`.`storefronts_shippings`.`storefront_id` = 1) or isnull(`webmarco`.`storefronts_shippings`.`storefront_id`)), true) and <if>(is_not_null_compl(storefronts_shippings), (`webmarco`.`storefronts_shippings`.`shipping_id` = `webmarco`.`a`.`shipping_id`), true))"
          }
        }
      ]
    }
  }
}

Result

shipping_id company_id min_weight max_weight position status tax_ids usergroup_ids shipping delivery_time company_name storefront_id
129 0 0.000 0.000 0 A 0 DHL Express Worldwide - From Romania 3-12 business days
100 0 0.000 32.000 0 A 0 DHL Express Worldwide - From Turkey 3-12 business days
98 0 0.000 10.000 0 A 0 DHL Express Worldwide - From Netherlands
10 0 0.000 10.000 10 A 0 Crono Express ( €8.00 ) 1-2 days
9 0 0.000 10.000 10 A 0 Crono Standard ( €6.00 ) 2-4 days
77 0 0.000 0.000 12 A 0 DHL Express - Italy National Shipping 2-4 business days
44 0 0.000 0.000 15 A 0 SDA
43 0 0.000 0.000 20 A 0 BRT
12 0 0.000 70.000 20 A 0 Bartolini SG 2-4 days
19 0 0.000 0.000 20 A 0 Bartolini - Intruglio 2-4 days
48 0 0.000 0.000 25 A 0 SDA Express courier
49 0 0.000 0.000 26 A 0 DHL Express 1-6 business days
78 0 0.000 0.000 27 A 0 DHL Express Worldwide - from Italy 1-6 business days
96 0 0.000 0.000 28 A 0 DHL Express Worldwide - From Greece 2-4 business days
97 0 0.000 31.500 29 A 0 DHL Express Worldwide - From Germany 2-4 business days
38 0 0.000 0.000 40 A 0 UPS
45 0 0.000 0.000 50 A 0 Italmondo
46 0 0.000 0.000 60 A 0 Sailpost
47 0 0.000 0.000 70 A 0 SkyNet
17 0 0.000 0.000 100 A 0 MBE Standard
42 0 0.000 0.000 100 A 0 GLS
11 0 0.000 0.000 100 A 0 Bartolini 2-4 days
40 0 0.000 0.000 100 A 0 PosteItaliane
39 0 0.000 0.000 100 A 0 Swiss Post
23 0 0.000 0.000 700 A 0 MBE Nazionale
86 0 0.000 0.000 1000 A 0 Free Shipping For North Macedonia 2-4 business days
85 0 0.000 0.000 1000 A 0 Free Shipping For France 2-4 business days
84 0 0.000 0.000 1000 A 0 Free Shipping For Germany 2-4 business days
116 0 0.000 0.000 1000 A 0 Free Shipping For Kosovo
83 0 0.000 0.000 1000 A 0 Free Shipping for Spain 2-4 business days
82 0 0.000 0.000 1000 A 0 Free Shipping For Albania 2-4 business days
24 0 0.000 0.000 1000 A 0 Free Shipping For Italy 2-4 days
81 0 0.000 0.000 1000 A 0 Free Shipping for Greece 2-4 business days
80 0 0.000 0.000 1000 A 0 Free Shipping For Turkey 2-4 business days