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 (
    12797, 12811, 11568, 11491, 11061, 12798, 
    12812, 12813, 12814, 12815, 11221, 
    11569, 11570, 11565, 11571, 11564, 
    11573, 11575, 11576, 11572, 11566, 
    11574, 11567, 9546
  ) 
  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 0.00070

JSON explain

{
  "query_block": {
    "select_id": 1,
    "nested_loop": [
      {
        "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": 48,
          "filtered": 100,
          "index_condition": "cscart_seo_names.object_id in (12797,12811,11568,11491,11061,12798,12812,12813,12814,12815,11221,11569,11570,11565,11571,11564,11573,11575,11576,11572,11566,11574,11567,9546) 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
9546 gel-lak-kira-nails-vitrage-v16-prozrachno-rozovyy-vitrazhnaya-6-ml 387/434/693
11061 gel-lak-kira-nails-vitrage-17-molochnyy-6-ml 387/434/693
11221 gel-lak-kira-nails-vitrage-v01-krasnyy-vitrazhnaya-6-ml 387/434/693
11491 gel-lak-kira-nails-vitrage-09-siniy-6-ml 387/434/693
11564 gel-lak-kira-nails-vitrage-v07-temno-zelenyy-vitrazhnaya-6-ml 387/434/693
11565 gel-lak-kira-nails-vitrage-v05-biryuzovo-zelenyy-vitrazhnaya-6-ml 387/434/693
11566 gel-lak-kira-nails-vitrage-v13-rozovyy-vitrazhnaya-6-ml 387/434/693
11567 gel-lak-kira-nails-vitrage-v15-prozrachno-lilovyy-vitrazhnaya-6-ml 387/434/693
11568 gel-lak-kira-nails-vitrage-v03-zhelto-zelenyy-vitrazhnaya-6-ml 387/434/693
11569 gel-lak-dlya-nogtey-kira-nails-vitrage-v02-zheltyy-vitrazhnaya-6-ml 387/434/693
11570 gel-lak-kira-nails-vitrage-v04-zelenyy-vitrazhnaya-6-ml 387/434/693
11571 gel-lak-kira-nails-vitrage-v06-zelenyy-vitrazhnaya-6-ml 387/434/693
11572 gel-lak-kira-nails-vitrage-v12-rozovyy-kislotnyy-vitrazhnaya-6-ml 387/434/693
11573 gel-lak-kira-nails-vitrage-v08-goluboy-vitrazhnaya-6-ml 387/434/693
11574 gel-lak-kira-nails-vitrage-v14-prozrachno-fioletovyy-vitrazhnaya-6-ml 387/434/693
11575 gel-lak-kira-nails-vitrage-v10-temno-fioletovyy-vitrazhnaya-6-ml 387/434/693
11576 gel-lak-kira-nails-vitrage-v11-fioletovo-rozovyy-vitrazhnaya-6-ml 387/434/693
12797 gel-lak-kira-nails-vitrage-19-persikoviy-6-ml 387/434/693
12798 gel-lak-kira-nails-vitrage-17-molochniy-6-ml 387/434/693
12811 gel-lak-kira-nails-vitrage-20-salatoviy-6-ml 387/434/693
12812 gel-lak-kira-nails-vitrage-21-morska-hvilya-6-ml 387/434/693
12813 gel-lak-kira-nails-vitrage-22-nzhno-blakitniy-6-ml 387/434/693
12814 gel-lak-kira-nails-vitrage-23-fuksiya-6-ml 387/434/693
12815 gel-lak-kira-nails-vitrage-24-lavandoviy-6-ml 387/434/693