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 (
    10456, 10455, 12702, 10446, 12579, 12580, 
    12700, 10444, 10443, 10442, 10441, 
    10440, 10439, 10438, 10437, 10436, 
    10435, 10434, 10433, 10432
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00047

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": 22,
      "filtered": 100,
      "index_condition": "cscart_products_categories.product_id in (10456,10455,12702,10446,12579,12580,12700,10444,10443,10442,10441,10440,10439,10438,10437,10436,10435,10434,10433,10432)"
    },
    "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
10432 1651M
10433 1651M
10434 1651M
10435 1651M
10436 1651M
10437 1651M
10438 1651M
10439 1651M
10440 1651M
10441 1651M
10442 1651M
10443 1651M
10444 1651M
10446 1645M
10455 1656M
10456 1656M
12579 277,278,267M
12580 278,277,267M
12700 787M
12702 323M