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, 969, 
    970, 972, 973, 974, 975
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00086

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "109.70"
    },
    "grouping_operation": {
      "using_temporary_table": true,
      "using_filesort": true,
      "cost_info": {
        "sort_cost": "3.97"
      },
      "nested_loop": [
        {
          "table": {
            "table_name": "cscart_categories",
            "access_type": "ALL",
            "possible_keys": [
              "PRIMARY",
              "c_status",
              "p_category_id"
            ],
            "rows_examined_per_scan": 126,
            "rows_produced_per_join": 5,
            "filtered": "4.00",
            "cost_info": {
              "read_cost": "29.72",
              "eval_cost": "1.01",
              "prefix_cost": "30.73",
              "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": 3,
            "filtered": "6.57",
            "index_condition": "(`cscart`.`cscart_products_categories`.`product_id` in (565,564,567,566,592,593,831,830,829,828,827,835,834,846,845,844,843,842,851,850,849,848,847,969,970,972,973,974,975))",
            "cost_info": {
              "read_cost": "62.90",
              "eval_cost": "0.79",
              "prefix_cost": "105.72",
              "data_read_per_join": "63"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "link_type"
            ]
          }
        }
      ]
    }
  }
}

Result

product_id category_ids
564 389,300M
565 389,300M
566 300M,389
567 300M,389
592 301M,366,374
593 374,301M,366
827 302,301,367M
828 302,301,367M
829 302,301,367M
830 301,367M,302
831 301,367M,302
834 372,301,373M
835 372,301,373M
842 302,301,368M
843 302,301,368M
844 301,368M,302
845 301,368M,302
846 301,368M,302
847 301,368M,302
848 302,301,368M
849 302,301,368M
850 302,301,368M
851 301,368M,302
969 310,309,349M
970 349M,310,309
972 350M,310,309
973 350M,310,309
974 350M,310,309
975 350M,310,309