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 (
    13012, 10759, 10760, 10761, 10762, 10763, 
    10764, 10765, 10766, 9874, 9875, 9887, 
    9879, 9796, 9942, 9943
  ) 
  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 0.00145

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": 32,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (13012,10759,10760,10761,10762,10763,10764,10765,10766,9874,9875,9887,9879,9796,9942,9943) 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
9796 empire-col-05 265/280/291/1672
9874 empire-col-01 265/280/291/1672
9875 empire-col-02 265/280/291/1672
9879 empire-col-04 265/280/291/1672
9887 empire-col-03 265/280/291/1672
9942 empire-col-06 265/280/291/1672
9943 empire-col-07 265/280/291/1672
10759 product-10759 265/280/283/1678
10760 product-10760 265/280/283/1678
10761 product-10761 265/280/283/1678
10762 dune-col-04 265/280/283/1678
10763 dune-col-05 265/280/283/1678
10764 dune-col-06 265/280/283/1678
10765 dune-col-07 265/280/283/1678
10766 dune-col-08 265/280/283/1678
13012 divo-col-14 265/280/301