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 (
    969, 970, 636, 637, 972, 973, 974, 975, 
    699, 700, 701, 702, 774, 775, 776, 777, 
    778, 779, 780, 781, 782, 783, 784, 785, 
    786, 787, 788, 789, 790, 791, 792, 793, 
    794, 795, 1025, 1026, 1027
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00109

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "109.35"
    },
    "grouping_operation": {
      "using_temporary_table": true,
      "using_filesort": true,
      "cost_info": {
        "sort_cost": "5.26"
      },
      "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": 5,
            "filtered": "8.77",
            "index_condition": "(`cscart`.`cscart_products_categories`.`product_id` in (969,970,636,637,972,973,974,975,699,700,701,702,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,1025,1026,1027))",
            "cost_info": {
              "read_cost": "61.60",
              "eval_cost": "1.05",
              "prefix_cost": "104.09",
              "data_read_per_join": "84"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "link_type"
            ]
          }
        }
      ]
    }
  }
}

Result

product_id category_ids
636 310,350,309M
637 309M,310,350
699 404,298,405M
700 404,298,405M
701 404,298,405M
702 405M,404,298
774 298,405M,404
775 298,405M,404
776 404,298,405M
777 404,298,405M
778 404,298,405M
779 405M,404,298
780 405M,404,298
781 298,405M,404
782 404,298,405M
783 404,298,405M
784 404,298,405M
785 299,391M,298
786 299,391M,298
787 298,299,391M
788 298,299,391M
789 299,391M,298
790 299,391M,298
791 299,391M,298
792 299,391M,298
793 299,391M,298
794 298,299,391M
795 299,391M,298
969 309,310,349M
970 309,310,349M
972 309,350M,310
973 309,350M,310
974 350M,310,309
975 309,350M,310
1025 401M,399,400
1026 401M,399,400
1027 400,401M,399