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 (
    613, 614, 615, 616, 617, 618, 619, 620, 
    621, 1029, 622, 1030
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru'

Query time 0.00046

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "30.21"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code"
      ],
      "key_length": "206",
      "rows_examined_per_scan": 13,
      "rows_produced_per_join": 13,
      "filtered": "100.00",
      "index_condition": "((`cscart`.`cscart_seo_names`.`object_id` in (613,614,615,616,617,618,619,620,621,1029,622,1030)) and (`cscart`.`cscart_seo_names`.`type` = 'p') and (`cscart`.`cscart_seo_names`.`dispatch` = '') and (`cscart`.`cscart_seo_names`.`lang_code` = 'ru'))",
      "cost_info": {
        "read_cost": "27.61",
        "eval_cost": "2.60",
        "prefix_cost": "30.21",
        "data_read_per_join": "22K"
      },
      "used_columns": [
        "name",
        "object_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
613 tumba-karmela-dub-votan 309
614 tumba-karmela-dub-votan-ru 309/310
615 tumba-karmela-dub-votan-ru-3 309/310
616 tumba-karmela-dub-votan-ru-2 309/310
617 tumba-karmela-dub-votan-ru-4 309
618 tumba-karmela-dub-votan-ru-5 309/310
619 tumba-karmela-dub-votan-ru-6 309/310
620 tumba-karmela-dub-votan-ru-7 309/310
621 tumba-karmela-dub-votan-ru-8 309/311
622 tumba-karmela-dub-votan-ru-9 309
1029 tumba-karmela 309/311
1030 tumba-karmela 309