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 (
    10317, 10322, 12572, 12575, 12571, 12573, 
    10273, 10272, 10271, 10270, 10269, 
    10268, 10267, 10266, 10265, 10264, 
    10263, 12570, 12567, 12569
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00062

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": 27,
      "filtered": 100,
      "index_condition": "cscart_products_categories.product_id in (10317,10322,12572,12575,12571,12573,10273,10272,10271,10270,10269,10268,10267,10266,10265,10264,10263,12570,12567,12569)"
    },
    "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
10263 323M
10264 323M
10265 323M
10266 323M
10267 323M
10268 323M
10269 323M
10270 323M
10271 323M
10272 323M
10273 323M
10317 1643M
10322 1643M
12567 278,267,277M
12569 278,277,267M
12570 277,267,278M
12571 267,278,277M
12572 267,277,278M
12573 267,278,277M
12575 267,278,277M