SELECT 
  cscart_products_categories.product_id, 
  GROUP_CONCAT(
    IF(
      cscart_products_categories.link_type = "M", 
      CONCAT(
        cscart_products_categories.category_id, 
        "M"
      ), 
      cscart_products_categories.category_id
    )
  ) AS category_ids, 
  product_position_source.position AS position 
FROM 
  cscart_products_categories 
  INNER JOIN cscart_categories ON cscart_categories.category_id = cscart_products_categories.category_id 
  AND cscart_categories.company_id = 1 
  AND (
    cscart_categories.usergroup_ids = '' 
    OR FIND_IN_SET(
      0, cscart_categories.usergroup_ids
    ) 
    OR FIND_IN_SET(
      1, cscart_categories.usergroup_ids
    )
  ) 
  AND cscart_categories.status IN ('A', 'H') 
  LEFT JOIN cscart_products_categories AS product_position_source ON cscart_products_categories.product_id = product_position_source.product_id 
  AND product_position_source.category_id = 353 
WHERE 
  cscart_products_categories.product_id IN (439, 394, 425, 389) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00287

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "144.98"
    },
    "grouping_operation": {
      "using_temporary_table": true,
      "using_filesort": true,
      "cost_info": {
        "sort_cost": "2.98"
      },
      "nested_loop": [
        {
          "table": {
            "table_name": "cscart_categories",
            "access_type": "ALL",
            "possible_keys": [
              "PRIMARY",
              "c_status",
              "p_category_id"
            ],
            "rows_examined_per_scan": 115,
            "rows_produced_per_join": 2,
            "filtered": "2.00",
            "cost_info": {
              "read_cost": "27.56",
              "eval_cost": "0.46",
              "prefix_cost": "28.02",
              "data_read_per_join": "6K"
            },
            "used_columns": [
              "category_id",
              "company_id",
              "usergroup_ids",
              "status"
            ],
            "attached_condition": "((`eshopuga_upgr_4122`.`cscart_categories`.`company_id` = 1) and ((`eshopuga_upgr_4122`.`cscart_categories`.`usergroup_ids` = '') or find_in_set(0,`eshopuga_upgr_4122`.`cscart_categories`.`usergroup_ids`) or find_in_set(1,`eshopuga_upgr_4122`.`cscart_categories`.`usergroup_ids`)) and (`eshopuga_upgr_4122`.`cscart_categories`.`status` in ('A','H')))"
          }
        },
        {
          "table": {
            "table_name": "cscart_products_categories",
            "access_type": "ref",
            "possible_keys": [
              "PRIMARY",
              "pt"
            ],
            "key": "PRIMARY",
            "used_key_parts": [
              "category_id"
            ],
            "key_length": "3",
            "ref": [
              "eshopuga_upgr_4122.cscart_categories.category_id"
            ],
            "rows_examined_per_scan": 40,
            "rows_produced_per_join": 2,
            "filtered": "3.24",
            "index_condition": "(`eshopuga_upgr_4122`.`cscart_products_categories`.`product_id` in (439,394,425,389))",
            "cost_info": {
              "read_cost": "92.00",
              "eval_cost": "0.60",
              "prefix_cost": "138.42",
              "data_read_per_join": "47"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "link_type"
            ]
          }
        },
        {
          "table": {
            "table_name": "product_position_source",
            "access_type": "eq_ref",
            "possible_keys": [
              "PRIMARY",
              "pt"
            ],
            "key": "PRIMARY",
            "used_key_parts": [
              "category_id",
              "product_id"
            ],
            "key_length": "6",
            "ref": [
              "const",
              "eshopuga_upgr_4122.cscart_products_categories.product_id"
            ],
            "rows_examined_per_scan": 1,
            "rows_produced_per_join": 2,
            "filtered": "100.00",
            "cost_info": {
              "read_cost": "2.98",
              "eval_cost": "0.60",
              "prefix_cost": "142.00",
              "data_read_per_join": "47"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "position"
            ]
          }
        }
      ]
    }
  }
}

Result

product_id category_ids position
389 376,341,386,345,378,354,384,344,343,382,352,338,369,356,371,380,340,373,351,358,375,349,377,353,385,383,342,347,381,355,339,350,357,370,372,337M,379,374 0
394 350,357,370,372,337M,379,374,376,341,386,345,378,354,384,344,343,382,352,338,369,356,371,380,340,373,351,358,375,349,377,353,385,383,342,347,381,355,339 0
425 342,347,355,339,350,357,337M,341,345,354,344,343,352,338,356,340,351,358,349,353 0
439 349,381,353,361,342,370,355,372,379,362,339,374,350,357,376,386,337M,378,363,384,382,341,345,354,369,344,343,352,371,373,338,368,360,375,377,340,385,351,358,359,383 0