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 
FROM 
  cscart_products_categories 
  INNER JOIN cscart_categories ON cscart_categories.category_id = cscart_products_categories.category_id 
  AND cscart_categories.storefront_id IN (0, 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') 
WHERE 
  cscart_products_categories.product_id IN (
    565, 564, 567, 566, 592, 593, 831, 830, 
    829, 828, 827, 835, 834, 846, 845, 844, 
    843, 842, 851, 850, 849, 848, 847, 858, 
    857, 856, 855, 854, 863, 862, 861, 860, 
    859
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00113

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "108.62"
    },
    "grouping_operation": {
      "using_temporary_table": true,
      "using_filesort": true,
      "cost_info": {
        "sort_cost": "4.53"
      },
      "nested_loop": [
        {
          "table": {
            "table_name": "cscart_categories",
            "access_type": "ALL",
            "possible_keys": [
              "PRIMARY",
              "c_status",
              "p_category_id"
            ],
            "rows_examined_per_scan": 125,
            "rows_produced_per_join": 5,
            "filtered": "4.00",
            "cost_info": {
              "read_cost": "29.49",
              "eval_cost": "1.00",
              "prefix_cost": "30.49",
              "data_read_per_join": "20K"
            },
            "used_columns": [
              "category_id",
              "storefront_id",
              "usergroup_ids",
              "status"
            ],
            "attached_condition": "((`cscart`.`cscart_categories`.`storefront_id` in (0,1)) and ((`cscart`.`cscart_categories`.`usergroup_ids` = '') or find_in_set(0,`cscart`.`cscart_categories`.`usergroup_ids`) or find_in_set(1,`cscart`.`cscart_categories`.`usergroup_ids`)) and (`cscart`.`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": [
              "cscart.cscart_categories.category_id"
            ],
            "rows_examined_per_scan": 12,
            "rows_produced_per_join": 4,
            "filtered": "7.55",
            "index_condition": "(`cscart`.`cscart_products_categories`.`product_id` in (565,564,567,566,592,593,831,830,829,828,827,835,834,846,845,844,843,842,851,850,849,848,847,858,857,856,855,854,863,862,861,860,859))",
            "cost_info": {
              "read_cost": "61.60",
              "eval_cost": "0.91",
              "prefix_cost": "104.09",
              "data_read_per_join": "72"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "link_type"
            ]
          }
        }
      ]
    }
  }
}

Result

product_id category_ids
564 300M,389
565 300M,389
566 300M,389
567 300M,389
592 366,374,301M
593 301M,366,374
827 301,367M,302
828 301,367M,302
829 301,367M,302
830 301,367M,302
831 302,301,367M
834 372,373M,301
835 373M,301,372
842 302,301,368M
843 302,301,368M
844 302,301,368M
845 302,301,368M
846 368M,302,301
847 301,368M,302
848 302,301,368M
849 302,301,368M
850 302,301,368M
851 302,301,368M
854 302,301,369M
855 301,369M,302
856 302,301,369M
857 302,301,369M
858 302,301,369M
859 302,301,369M
860 302,301,369M
861 369M,302,301
862 302,301,369M
863 302,301,369M