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 (
    13013, 13014, 13015, 13016, 13017, 13018, 
    13019, 13020, 13021, 13022, 13023, 
    13024, 13025, 13026, 13027, 13028, 
    13030
  ) 
  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 0.00083

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 34,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (13013,13014,13015,13016,13017,13018,13019,13020,13021,13022,13023,13024,13025,13026,13027,13028,13030) 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)"
    }
  }
}

Result

product_id seo_name seo_path
13013 les-col-01 265/280/291/1683
13014 les-col-02 265/280/301
13015 les-col-03 265/280/291/1683
13016 les-col-04 265/280/291/1683
13017 les-col-05 265/280/291/1683
13018 les-col-06 265/280/291/1683
13019 les-col-07 265/280/291/1683
13020 les-col-08 265/280/291/1683
13021 les-col-09 265/280/291/1683
13022 les-plain-col-01 265/280/291/1683
13023 les-plain-col-02 265/280/291/1683
13024 les-plain-col-03 265/280/291/1683
13025 les-plain-col-04 265/280/291/1683
13026 les-plain-col-05 265/280/291/1683
13027 les-plain-col-06 265/280/291/1683
13028 les-plain-col-07 265/280/301
13030 les-plain-col-09 265/280/291/1683