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 (
    7056, 7068, 7047, 7061, 7034, 7046, 8052, 
    8059, 7058, 8055, 7045, 8057, 8056, 
    8058, 8060, 7057, 7055, 7048, 7053, 
    7054, 7071, 7051, 7070, 7044, 7508, 
    7062, 7072
  ) 
  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 0.00070

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "37.81"
    },
    "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": 54,
      "rows_produced_per_join": 54,
      "filtered": "100.00",
      "index_condition": "((`primapearl_r_new`.`cscart_seo_names`.`object_id` in (7056,7068,7047,7061,7034,7046,8052,8059,7058,8055,7045,8057,8056,8058,8060,7057,7055,7048,7053,7054,7071,7051,7070,7044,7508,7062,7072)) 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": "32.41",
        "eval_cost": "5.40",
        "prefix_cost": "37.81",
        "data_read_per_join": "91K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
7034 190-1-1015r 266/265
7044 190-1-1038r 266/265
7045 190-1-1039r 266/265
7046 190-1-1040r 266/265
7047 190-1-1041r 266/265
7048 190-1-1043r 266/265
7051 190-1-1048 266/265
7053 190-1-1051r 266/265
7054 190-1-1054r 266/265
7055 190-1-1056r 266/265
7056 190-1-1058r 266/265
7057 190-1-1059 266/265
7058 190-1-1060r 266/265
7061 190-1-1063 266/265
7062 190-1-1064r 266/265
7068 190-1-1076r 266/265
7070 190-1-1079r 266/265
7071 190-1-1080r 266/265
7072 190-1-1081r 266/265
7508 290-1-00220 266/267
8052 390-1-1000r 266/268
8055 390-1-1010r 266/268
8056 390-1-1011r 266/268
8057 390-1-1018r 266/268
8058 390-1-1019r 266/268
8059 390-1-1020r 266/268
8060 390-1-1021r 266/268