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 (
    12656, 12655, 12646, 12631, 12998, 12997, 
    12996, 12995, 10826, 10825, 10824, 
    10823, 10822, 10821, 10820, 10819, 
    10818, 10817, 10816, 10815
  ) 
  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 0.00046

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": 40,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (12656,12655,12646,12631,12998,12997,12996,12995,10826,10825,10824,10823,10822,10821,10820,10819,10818,10817,10816,10815) 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
10815 empire-col-12 265/280/291/1672
10816 empire-col-13 265/280/291/1672
10817 empire-col-14 265/280/291/1672
10818 empire-col-15 265/280/291/1672
10819 empire-col-16 265/280/291/1672
10820 empire-col-17 265/280/291/1672
10821 empire-col-18 265/280/291/1672
10822 empire-col-19 265/280/291/1672
10823 empire-col-20 265/280/291/1672
10824 empire-col-21 265/280/291/1672
10825 empire-col-22 265/280/291/1672
10826 empire-col-23 265/280/291/1672
12631 belgiyskiy-kover-topaz-160h230 265/266/267
12646 tureckiy-kover-stark-stripe-100x200 265/266/267
12655 tureckiy-kover-stark-stripe-160x230 265/266/267
12656 tureckiy-kover-stark-stripe-200h290 265/266/267
12995 akcent-col-01 265/280/301
12996 akcent-col-02 265/280/301
12997 akcent-col-03 265/280/301
12998 akcent-col-04 265/280/301