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 (
    8530, 7902, 8509, 8531, 7904, 8555, 7553, 
    7935, 7555, 7984, 7557, 7934, 7937, 
    8026, 7987, 7995, 7810, 7986, 7976, 
    7801, 7849, 8048, 7936, 7809, 7897, 
    7564, 7515
  ) 
  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 0.00062

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "37.81"
    },
    "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": 54,
      "rows_produced_per_join": 54,
      "filtered": "100.00",
      "index_condition": "((`primapearl_r_new`.`cscart_seo_names`.`object_id` in (8530,7902,8509,8531,7904,8555,7553,7935,7555,7984,7557,7934,7937,8026,7987,7995,7810,7986,7976,7801,7849,8048,7936,7809,7897,7564,7515)) and (`primapearl_r_new`.`cscart_seo_names`.`type` = 'p') and (`primapearl_r_new`.`cscart_seo_names`.`dispatch` = '') and (`primapearl_r_new`.`cscart_seo_names`.`lang_code` = 'ru') and ((`primapearl_r_new`.`cscart_seo_names`.`company_id` = 1) or (`primapearl_r_new`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "32.41",
        "eval_cost": "5.40",
        "prefix_cost": "37.81",
        "data_read_per_join": "91K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
7515 290-1-1000r 266/267/441
7553 290-1-1045r 266/267/441
7555 290-1-1047r 266/267/441
7557 290-1-1049r 266/267/441
7564 290-1-1056r 266/267/441
7801 290-1-710r 266/267/441
7809 290-1-719r 266/267/441
7810 290-1-720r 266/267/441
7849 290-1-773r 266/267/441
7897 290-1-827r 266/267/441
7902 290-1-832r 266/267/441
7904 290-1-834r 266/267/441
7934 290-1-876r 266/267/441
7935 290-1-877r 266/267/441
7936 290-1-879r 266/267/441
7937 290-1-880r 266/267/441
7976 290-1-922r 266/267/441
7984 290-1-932r 266/267/441
7986 290-1-934r 266/267/441
7987 290-1-935r 266/267/441
7995 290-1-944r 266/267/441
8026 290-1-975r 266/267/441
8048 290-1-997r 266/267/441
8509 pr603 373/372
8530 sl001 266/267/441
8531 sl002 266/267/441
8555 sl8049 266/267/441