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 (
    12855, 12854, 12853, 10412, 10411, 10410, 
    10409, 10408, 10407, 10406, 15781, 
    10405, 10404, 10403, 10402, 10401, 
    10400, 10399, 10398, 10397
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00290

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 (12855,12854,12853,10412,10411,10410,10409,10408,10407,10406,15781,10405,10404,10403,10402,10401,10400,10399,10398,10397)"
    },
    "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
10397 787M
10398 787M
10399 787M
10400 787M
10401 787M
10402 787M
10403 1655M
10404 1655M
10405 1655M
10406 1655M
10407 1655M
10408 1655M
10409 1655M
10410 1655M
10411 1655M
10412 1655M
12853 1655M
12854 1655M
12855 1655M
15781 1655M