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 0.00104

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