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 (
    2698, 2706, 2708, 2701, 2696, 2702, 2709, 
    2700, 2707, 2699, 2705, 2703
  ) 
  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 0.00047

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": 24,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (2698,2706,2708,2701,2696,2702,2709,2700,2707,2699,2705,2703) 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
2696 divo-col.01 302/307/373/604
2698 divo-col.03 302/307/373/604
2699 divo-col.04 302/307/373/604
2700 divo-col.05 302/307/373/604
2701 divo-col.06 302/307/373/604
2702 divo-col.07 302/307/373/604
2703 divo-col.08 302/307/373/604
2705 divo-col.10 302/307/373/604
2706 divo-col.11 302/307/373/604
2707 divo-col.12 302/307/373/604
2708 divo-col.13 302/307/373/604
2709 divo-col.14 302/307/373/604