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 (
    376, 1612, 1613, 1614, 1615, 1616, 1617, 
    1618, 5476, 5473, 1843, 1841, 1840, 
    486, 1842
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'en' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00067

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": 30,
      "filtered": 76.667,
      "index_condition": "cscart_seo_names.object_id in (376,1612,1613,1614,1615,1616,1617,1618,5476,5473,1843,1841,1840,486,1842) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'en' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)",
      "attached_condition": "cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0"
    }
  }
}

Result

product_id seo_name seo_path
376 shampoo-bars 1
486 big-bars-en-2 308/232/242
1612 shampoo-bars-en-2 1
1613 shampoo-bars-en-5 1
1614 shampoo-bars-en-3 1
1615 shampoo-bars-en 1
1616 shampoo-bars-en-4 1
1617 shampoo-bars-en-6 1
1618 shampoo-bars-en-7 1
1840 big-bars-en-4 308/232/242
1841 big-bars-en-3 308/232/242
1842 big-bars-en 308/232/242
1843 big-bars 308/232/242
5473 big-bars-en-5 308/232/242
5476 shampoo-bars-en-8 1