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 (
    13029, 13030, 10106, 10105, 10104, 10103, 
    10625, 10626, 10627, 10628, 10629, 
    10630, 10631, 10632, 10633, 10634, 
    10635, 10636, 10403, 10404, 10405, 
    15781, 10406, 10407, 10408, 10409, 
    10410, 10411, 10412, 12853, 12854, 
    12855, 10414, 10415, 10416, 12856, 
    10417, 10418, 10419, 10420, 10421, 
    10422, 10423, 10424, 10384, 10383, 
    10382, 10753, 10754, 10755, 10296, 
    10297, 10298, 10299, 10300, 10446, 
    10756, 10757, 10758, 13031, 13032, 
    13033, 13034, 13035
  ) 
  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 0.00136

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": 128,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (13029,13030,10106,10105,10104,10103,10625,10626,10627,10628,10629,10630,10631,10632,10633,10634,10635,10636,10403,10404,10405,15781,10406,10407,10408,10409,10410,10411,10412,12853,12854,12855,10414,10415,10416,12856,10417,10418,10419,10420,10421,10422,10423,10424,10384,10383,10382,10753,10754,10755,10296,10297,10298,10299,10300,10446,10756,10757,10758,13031,13032,13033,13034,13035) 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)"
    }
  }
}