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, 
  product_position_source.position AS position 
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') 
  LEFT JOIN cscart_products_categories AS product_position_source ON cscart_products_categories.product_id = product_position_source.product_id 
  AND product_position_source.category_id = 267 
WHERE 
  cscart_products_categories.product_id IN (
    13091, 12551, 12638, 12634, 12636, 12635, 
    12599, 12627, 12600, 12639, 15800, 
    12595, 12587, 12593, 12620, 12623, 
    12619, 12585, 12616, 12601
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00116

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": 54,
      "filtered": 100,
      "index_condition": "cscart_products_categories.product_id in (13091,12551,12638,12634,12636,12635,12599,12627,12600,12639,15800,12595,12587,12593,12620,12623,12619,12585,12616,12601)"
    },
    "table": {
      "table_name": "product_position_source",
      "access_type": "eq_ref",
      "possible_keys": ["PRIMARY", "pt"],
      "key": "PRIMARY",
      "key_length": "6",
      "used_key_parts": ["category_id", "product_id"],
      "ref": [
        "const",
        "noframes_angrybeaver.cscart_products_categories.product_id"
      ],
      "rows": 1,
      "filtered": 100
    },
    "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 position
12551 267,270,268M 0
12585 270,267,1688M 0
12587 270,267,1688M 0
12593 270,267,1688M 0
12595 270,267,1688M 0
12599 277,267,270M 0
12600 277,267,270M 0
12601 267,270,277M 0
12616 277,270,267M 0
12619 267,270,1688M 0
12620 270,1688,267M 0
12623 267,1688,270M 0
12627 277,270,267M 0
12634 267,270,268M 0
12635 267,268,270M 0
12636 268,267,270M 0
12638 267,277,285,270M 0
12639 270,285,277,267M 0
13091 285,270,267M 0
15800 285,270,267,277M 0