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 (
    51076, 51073, 51072, 51074, 51075, 22711, 
    22710, 51077, 51080, 51078, 51079, 
    51357, 51360, 51359, 51358, 51361, 
    30, 51362, 51363, 51364, 51365, 31, 
    51366, 51367, 51368, 51369, 46, 51370, 
    51371, 51372, 51373, 51452, 51453, 
    42, 51376, 51377, 51378, 51379, 51380
  ) 
  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 0.00093

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "54.61"
    },
    "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": 78,
      "rows_produced_per_join": 78,
      "filtered": "100.00",
      "index_condition": "((`test_uchur_k`.`cscart_seo_names`.`object_id` in (51076,51073,51072,51074,51075,22711,22710,51077,51080,51078,51079,51357,51360,51359,51358,51361,30,51362,51363,51364,51365,31,51366,51367,51368,51369,46,51370,51371,51372,51373,51452,51453,42,51376,51377,51378,51379,51380)) and (`test_uchur_k`.`cscart_seo_names`.`type` = 'p') and (`test_uchur_k`.`cscart_seo_names`.`dispatch` = '') and (`test_uchur_k`.`cscart_seo_names`.`lang_code` = 'ru') and ((`test_uchur_k`.`cscart_seo_names`.`company_id` = 1) or (`test_uchur_k`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "46.81",
        "eval_cost": "7.80",
        "prefix_cost": "54.61",
        "data_read_per_join": "132K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}