SELECT 
  SQL_CALC_FOUND_ROWS `B`.`brand_id`, 
  `B`.`brand`, 
  COALESCE(F.path, "") AS image, 
  `PC`.`category_id` 
FROM 
  `cscart_brands` AS `B` 
  LEFT JOIN `files__images` AS `FI` ON `B`.`brand_id` = `FI`.`object_id` 
  AND `FI`.`object_type` = "brand" 
  LEFT JOIN `files` AS `F` ON `F`.`id` = `FI`.`file_id` 
  LEFT JOIN `cscart_products` AS `P` ON `B`.`brand_id` = `P`.`brand_id` 
  LEFT JOIN `cscart_products_categories` AS `PC` ON `PC`.`product_id` = `P`.`product_id` 
  AND `PC`.`link_type` = 'M' 
WHERE 
  1 
  AND `PC`.`category_id` IN (
    591, 596, 606, 694, 707, 748, 749, 750, 
    808, 814
  ) 
  AND `P`.`status` = 'A' 
GROUP BY 
  `B`.`brand_id`, 
  `B`.`brand` 
ORDER BY 
  `B`.`brand` ASC 
LIMIT 
  0, 20

Query time 0.00490

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "1467.32"
    },
    "ordering_operation": {
      "using_filesort": true,
      "grouping_operation": {
        "using_temporary_table": true,
        "using_filesort": false,
        "nested_loop": [
          {
            "table": {
              "table_name": "PC",
              "access_type": "range",
              "possible_keys": [
                "PRIMARY",
                "link_type",
                "pt",
                "idx_pc_product_id_type"
              ],
              "key": "link_type",
              "used_key_parts": [
                "link_type",
                "category_id"
              ],
              "key_length": "6",
              "rows_examined_per_scan": 922,
              "rows_produced_per_join": 922,
              "filtered": "100.00",
              "using_index": true,
              "cost_info": {
                "read_cost": "92.71",
                "eval_cost": "92.20",
                "prefix_cost": "184.91",
                "data_read_per_join": "14K"
              },
              "used_columns": [
                "product_id",
                "category_id",
                "link_type"
              ],
              "attached_condition": "((`dev2`.`PC`.`category_id` in (591,596,606,694,707,748,749,750,808,814)) and (`dev2`.`PC`.`link_type` = 'M'))"
            }
          },
          {
            "table": {
              "table_name": "P",
              "access_type": "eq_ref",
              "possible_keys": [
                "PRIMARY",
                "status",
                "cscart_products_brand_id_index",
                "cscart_products_product_id_index",
                "idx_status"
              ],
              "key": "PRIMARY",
              "used_key_parts": [
                "product_id"
              ],
              "key_length": "3",
              "ref": [
                "dev2.PC.product_id"
              ],
              "rows_examined_per_scan": 1,
              "rows_produced_per_join": 665,
              "filtered": "72.23",
              "cost_info": {
                "read_cost": "230.50",
                "eval_cost": "66.59",
                "prefix_cost": "507.61",
                "data_read_per_join": "4M"
              },
              "used_columns": [
                "product_id",
                "status",
                "brand_id"
              ],
              "attached_condition": "((`dev2`.`P`.`status` = 'A') and (`dev2`.`P`.`brand_id` is not null))"
            }
          },
          {
            "table": {
              "table_name": "B",
              "access_type": "eq_ref",
              "possible_keys": [
                "PRIMARY",
                "cscart_brands_pk2"
              ],
              "key": "PRIMARY",
              "used_key_parts": [
                "brand_id"
              ],
              "key_length": "4",
              "ref": [
                "dev2.P.brand_id"
              ],
              "rows_examined_per_scan": 1,
              "rows_produced_per_join": 665,
              "filtered": "100.00",
              "cost_info": {
                "read_cost": "166.48",
                "eval_cost": "66.59",
                "prefix_cost": "740.69",
                "data_read_per_join": "2M"
              },
              "used_columns": [
                "brand_id",
                "brand"
              ]
            }
          },
          {
            "table": {
              "table_name": "FI",
              "access_type": "ref",
              "possible_keys": [
                "idx_fi_object_id_type"
              ],
              "key": "idx_fi_object_id_type",
              "used_key_parts": [
                "object_id",
                "object_type"
              ],
              "key_length": "5",
              "ref": [
                "dev2.P.brand_id",
                "const"
              ],
              "rows_examined_per_scan": 1,
              "rows_produced_per_join": 674,
              "filtered": "100.00",
              "cost_info": {
                "read_cost": "168.71",
                "eval_cost": "67.49",
                "prefix_cost": "976.89",
                "data_read_per_join": "15K"
              },
              "used_columns": [
                "object_id",
                "object_type",
                "file_id"
              ]
            }
          },
          {
            "table": {
              "table_name": "F",
              "access_type": "eq_ref",
              "possible_keys": [
                "PRIMARY"
              ],
              "key": "PRIMARY",
              "used_key_parts": [
                "id"
              ],
              "key_length": "4",
              "ref": [
                "dev2.FI.file_id"
              ],
              "rows_examined_per_scan": 1,
              "rows_produced_per_join": 674,
              "filtered": "100.00",
              "cost_info": {
                "read_cost": "422.95",
                "eval_cost": "67.49",
                "prefix_cost": "1467.32",
                "data_read_per_join": "2M"
              },
              "used_columns": [
                "id",
                "path"
              ]
            }
          }
        ]
      }
    }
  }
}

Result

brand_id brand image category_id
293 CATERPILLAR 606
478 DYNAPAC 606
736 HAMM 606
1116 LIUGONG https://s3.timeweb.cloud/482029f9-prod/brands__images/1116_0da27f79a446_liugong.jpeg 596
1132 LONKING https://s3.timeweb.cloud/482029f9-prod/brands__images/1132_1e1123be6567_lonking.png 606
1166 MADROG 749
1636 SANY https://s3.timeweb.cloud/482029f9-prod/brands__images/1636_068a2a7d9dbf_Sany.png 596
3065 SDLG https://s3.timeweb.cloud/482029f9-prod/brands__images/3065_d311ad1a1634_SDLG.png 596
1676 SEM https://s3.timeweb.cloud/482029f9-prod/brands__images/1676_5228bd07e84d_SEM.jpeg 596
1722 SINOMACH 596
1981 UMG https://s3.timeweb.cloud/482029f9-prod/brands__images/1981_c69cd5a8eed7_UMG.png 596
2026 VOGELE 694
2029 VOLVO 694
2082 WIRTGEN 707
2097 XCMG https://s3.timeweb.cloud/482029f9-prod/brands__images/2097_5db562fc42b7_xcmg.png 596
3067 ZDM 606
2403 ЗАВОД ДОРОЖНЫХ МАШИН 606
2461 КАМАЗ https://s3.timeweb.cloud/482029f9-prod/brands__images/2461_e3272c707eff_%25D0%25BA%25D0%25B0%25D0%25BC%25D0%25B0%25D0%25B7.jpeg 750
2996 ЧЗДТ 596