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 (
    664, 663, 658, 657, 656, 651, 650, 647, 
    645, 644, 641, 639, 636, 624, 622, 620, 
    619, 618, 616, 615, 608, 607, 600, 597
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00080

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "12.39"
    },
    "grouping_operation": {
      "using_temporary_table": true,
      "using_filesort": true,
      "cost_info": {
        "sort_cost": "2.52"
      },
      "nested_loop": [
        {
          "table": {
            "table_name": "cscart_categories",
            "access_type": "ALL",
            "possible_keys": [
              "PRIMARY",
              "c_status",
              "p_category_id"
            ],
            "rows_examined_per_scan": 20,
            "rows_produced_per_join": 1,
            "filtered": "5.00",
            "cost_info": {
              "read_cost": "2.52",
              "eval_cost": "0.10",
              "prefix_cost": "2.62",
              "data_read_per_join": "2K"
            },
            "used_columns": [
              "category_id",
              "usergroup_ids",
              "status",
              "storefront_id"
            ],
            "attached_condition": "((`betaatif_store`.`cscart_categories`.`storefront_id` in (0,1)) and ((`betaatif_store`.`cscart_categories`.`usergroup_ids` = '') or (0 <> find_in_set(0,`betaatif_store`.`cscart_categories`.`usergroup_ids`)) or (0 <> find_in_set(1,`betaatif_store`.`cscart_categories`.`usergroup_ids`))) and (`betaatif_store`.`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": [
              "betaatif_store.cscart_categories.category_id"
            ],
            "rows_examined_per_scan": 43,
            "rows_produced_per_join": 2,
            "filtered": "5.87",
            "index_condition": "(`betaatif_store`.`cscart_products_categories`.`product_id` in (664,663,658,657,656,651,650,647,645,644,641,639,636,624,622,620,619,618,616,615,608,607,600,597))",
            "cost_info": {
              "read_cost": "2.94",
              "eval_cost": "0.25",
              "prefix_cost": "9.86",
              "data_read_per_join": "40"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "link_type"
            ]
          }
        }
      ]
    }
  }
}

Result

product_id category_ids
597 12M
600 5M
607 5M
608 5M
615 5M
616 17M
618 18M
619 5M
620 5M
622 5M
624 17M
636 2M,17
639 2M,17
641 2M,17
644 17,2M
645 18M
647 17M,2
650 17,2M
651 16M
656 3,15M
657 15M,3
658 15M,3
663 15M,3
664 3,15M