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 (
    12603, 12608, 12606, 12604, 12602, 12600, 
    15956, 15957, 15958, 10692, 10693, 
    10695, 10696, 10698, 10699, 10701, 
    10724, 10725, 10668, 10669
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00064

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": 35,
      "filtered": 100,
      "index_condition": "cscart_products_categories.product_id in (12603,12608,12606,12604,12602,12600,15956,15957,15958,10692,10693,10695,10696,10698,10699,10701,10724,10725,10668,10669)"
    },
    "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
10668 1661M
10669 1661M
10692 275M
10693 275M
10695 275M
10696 275M
10698 275M
10699 275M
10701 275M
10724 775M
10725 775M
12600 277,267,270M
12602 270,277,267M
12603 267,277,270M
12604 267,270,277M
12606 277,270,267M
12608 270,277,267M
15956 272M
15957 272M
15958 272M