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 0.00108

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