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 (
    12995, 12996, 12997, 12998, 15744, 15745, 
    15746, 15743, 15738, 15739, 15740, 
    15741, 15742, 15736, 15737, 12999, 
    13000, 13001, 13002, 13003, 13004, 
    13005, 13006, 13007, 13008, 13009, 
    13010, 13011, 13012, 12969, 13013, 
    13014
  ) 
  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 0.00107

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": 64,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (12995,12996,12997,12998,15744,15745,15746,15743,15738,15739,15740,15741,15742,15736,15737,12999,13000,13001,13002,13003,13004,13005,13006,13007,13008,13009,13010,13011,13012,12969,13013,13014) 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)"
    }
  }
}