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 (
    592827, 592825, 588307, 592830, 1338884
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ro' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00121

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "11.99"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 10,
      "rows_produced_per_join": 10,
      "filtered": "100.00",
      "cost_info": {
        "read_cost": "10.99",
        "eval_cost": "1.00",
        "prefix_cost": "11.99",
        "data_read_per_join": "16K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ],
      "attached_condition": "((`maniamall_cscart`.`cscart_seo_names`.`object_id` in (592827,592825,588307,592830,1338884)) and (`maniamall_cscart`.`cscart_seo_names`.`type` = 'p') and (`maniamall_cscart`.`cscart_seo_names`.`dispatch` = '') and (`maniamall_cscart`.`cscart_seo_names`.`lang_code` = 'ro') and ((`maniamall_cscart`.`cscart_seo_names`.`company_id` = 1) or (`maniamall_cscart`.`cscart_seo_names`.`company_id` = 0)))"
    }
  }
}

Result

product_id seo_name seo_path
588307 banda-reparatie-fibra-sticla-2k-t-rex-50mm-x-1.25m-banda-adeziva-kft-auto 290/8242/8243
592825 mufa-bec-ceramica-pentru-soclu-h4-cu-cablu-15-cm-mufa-bec-h4-kft-auto 290/8242/8509
592827 mufa-bec-ceramica-pentru-soclu-h7-lungime-cablu-15cm-2-buc-kft-auto 290/8242/8509
592830 mufa-bec-h7-10-cm-mufa-ceramica-2-fire-carpoint-kft-auto 290/8242/8509
1338884 banda-adeziva-antialunecare-negru-verde-fosforescent-5cm-x-5m-hpt08 290/8242/8243