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 (
    10370, 10372, 10374, 10376, 10377, 10378, 
    10379, 10380, 10381, 10371, 10373, 
    10375, 12944, 15781, 12853, 12854, 
    12855, 12856, 12551
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00272

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_products_categories",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "pt"],
      "key": "pt",
      "key_length": "3",
      "used_key_parts": ["product_id"],
      "rows": 23,
      "filtered": 100,
      "index_condition": "cscart_products_categories.product_id in (10370,10372,10374,10376,10377,10378,10379,10380,10381,10371,10373,10375,12944,15781,12853,12854,12855,12856,12551)"
    },
    "table": {
      "table_name": "cscart_categories",
      "access_type": "eq_ref",
      "possible_keys": ["PRIMARY", "c_status", "p_category_id"],
      "key": "PRIMARY",
      "key_length": "3",
      "used_key_parts": ["category_id"],
      "ref": ["noframes_angrybeaver.cscart_products_categories.category_id"],
      "rows": 1,
      "filtered": 100,
      "attached_condition": "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')"
    }
  }
}

Result

product_id category_ids
10370 1652M
10371 1652M
10372 1652M
10373 1652M
10374 1652M
10375 1652M
10376 1652M
10377 1652M
10378 1652M
10379 1652M
10380 1652M
10381 1652M
12551 267,270,268M
12853 1655M
12854 1655M
12855 1655M
12856 1655M
12944 283M
15781 1655M