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 (
    339, 1565, 1566, 1567, 1568, 1569, 1570, 
    5556
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00383

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": 376,
      "filtered": 100,
      "index_condition": "cscart_products_categories.product_id in (339,1565,1566,1567,1568,1569,1570,5556)"
    },
    "table": {
      "table_name": "cscart_categories",
      "access_type": "eq_ref",
      "possible_keys": ["PRIMARY", "c_status"],
      "key": "PRIMARY",
      "key_length": "3",
      "used_key_parts": ["category_id"],
      "ref": ["herbaria_cscart_4_18.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
339 258,306,304,295,267,265,264,261,255,251,241,240,238,237,236,235,234,233,230,229,192,179,175,123,120,109,101,94,83,79,74,73,69,68,67,64,60,55,54,53,52,47,46,44,43,41,26,20,19,17,16,15,336,1M
1565 306,304,295,267,265,264,261,255,251,241,240,238,237,236,235,234,233,230,229,192,179,175,123,120,109,101,94,83,79,74,73,69,68,67,64,60,55,54,53,52,47,46,44,43,41,26,20,19,17,16,258,15,336,1M
1566 306,304,295,267,265,264,261,255,251,241,240,238,237,236,235,234,233,230,229,192,179,175,123,120,109,101,94,83,79,74,73,69,68,67,64,60,55,54,53,52,47,46,44,43,41,26,20,19,17,16,258,15,336,1M
1567 306,304,295,267,265,264,261,255,251,241,240,238,237,236,235,234,233,230,229,192,179,175,123,120,109,101,94,83,79,74,73,69,68,67,64,60,55,54,53,52,47,46,44,43,41,26,20,19,17,16,258,15,336,1M
1568 306,304,295,267,265,264,261,255,251,241,240,238,237,236,235,234,233,230,229,192,179,175,123,120,109,101,94,83,79,74,73,69,68,67,64,60,55,54,53,52,47,46,44,43,41,26,20,19,17,16,258,15,336,1M
1569 306,304,295,267,265,264,261,255,251,241,240,238,237,236,235,234,233,230,229,192,179,175,123,120,109,101,94,83,79,74,73,69,68,67,64,60,55,54,53,52,47,46,44,43,41,26,20,19,17,16,258,15,336,1M
1570 306,304,295,267,265,264,261,255,251,241,240,238,237,236,235,234,233,230,229,192,179,175,123,120,109,101,94,83,79,74,73,69,68,67,64,60,55,54,53,52,47,46,44,43,41,26,20,19,17,16,258,15,336,1M
5556 261,20,255,26,251,241,240,238,237,236,235,15,234,233,230,229,192,179,336,175,123,120,109,101,94,83,79,74,73,69,68,67,64,60,55,54,53,52,47,46,44,43,41,258,306,304,295,267,16,265,17,264,19,1M