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 (
    10443, 10444, 12700, 12580, 12579, 10446, 
    12702, 10455, 10456, 10454, 10453, 
    10452, 10451, 10450, 10449, 10448, 
    10447, 12691, 12692, 12693
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00075

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 (10443,10444,12700,12580,12579,10446,12702,10455,10456,10454,10453,10452,10451,10450,10449,10448,10447,12691,12692,12693)"
    },
    "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
10443 1651M
10444 1651M
10446 1645M
10447 1656M
10448 1656M
10449 1656M
10450 1656M
10451 1656M
10452 1656M
10453 1656M
10454 1656M
10455 1656M
10456 1656M
12579 277,278,267M
12580 278,277,267M
12691 1656M
12692 1656M
12693 1656M
12700 787M
12702 323M