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 (
    27, 16, 17, 20, 194, 1438, 13, 23, 71, 196, 
    199, 343, 31, 79, 89
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00178

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "26.04"
    },
    "grouping_operation": {
      "using_temporary_table": true,
      "using_filesort": true,
      "cost_info": {
        "sort_cost": "1.14"
      },
      "nested_loop": [
        {
          "table": {
            "table_name": "cscart_categories",
            "access_type": "ALL",
            "possible_keys": [
              "PRIMARY",
              "c_status",
              "p_category_id"
            ],
            "rows_examined_per_scan": 59,
            "rows_produced_per_join": 2,
            "filtered": "4.00",
            "cost_info": {
              "read_cost": "6.76",
              "eval_cost": "0.24",
              "prefix_cost": "7.00",
              "data_read_per_join": "10K"
            },
            "used_columns": [
              "category_id",
              "usergroup_ids",
              "status",
              "storefront_id"
            ],
            "attached_condition": "((`testdobroded`.`cscart_categories`.`storefront_id` in (0,1)) and ((`testdobroded`.`cscart_categories`.`usergroup_ids` = '') or (0 <> find_in_set(0,`testdobroded`.`cscart_categories`.`usergroup_ids`)) or (0 <> find_in_set(1,`testdobroded`.`cscart_categories`.`usergroup_ids`))) and (`testdobroded`.`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": [
              "testdobroded.cscart_categories.category_id"
            ],
            "rows_examined_per_scan": 25,
            "rows_produced_per_join": 1,
            "filtered": "1.93",
            "index_condition": "(`testdobroded`.`cscart_products_categories`.`product_id` in (27,16,17,20,194,1438,13,23,71,196,199,343,31,79,89))",
            "cost_info": {
              "read_cost": "12.01",
              "eval_cost": "0.11",
              "prefix_cost": "24.91",
              "data_read_per_join": "18"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "link_type"
            ]
          }
        }
      ]
    }
  }
}

Result

product_id category_ids
13 33,1M
16 33,1M
17 33,1M
20 33,1M
23 6M
27 6M
31 33,1M
71 33,1M
79 33,1M
89 53,4M
194 1,33M
196 1,33M
199 1,33M
343 54M
1438 6,19M