SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    8724, 8723, 8518, 8706, 8707, 8513, 8514, 
    8520, 8521, 8516, 8515, 8517
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00044

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "16.81"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 24,
      "rows_produced_per_join": 24,
      "filtered": "100.00",
      "index_condition": "((`primapearl_r_new`.`cscart_seo_names`.`object_id` in (8724,8723,8518,8706,8707,8513,8514,8520,8521,8516,8515,8517)) and (`primapearl_r_new`.`cscart_seo_names`.`type` = 'p') and (`primapearl_r_new`.`cscart_seo_names`.`dispatch` = '') and (`primapearl_r_new`.`cscart_seo_names`.`lang_code` = 'ru') and ((`primapearl_r_new`.`cscart_seo_names`.`company_id` = 1) or (`primapearl_r_new`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "14.41",
        "eval_cost": "2.40",
        "prefix_cost": "16.81",
        "data_read_per_join": "40K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}