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 0.00103

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