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 = 223 
WHERE 
  cscart_products_categories.product_id IN (
    390977, 390984, 390981, 391005, 391003, 
    390987, 391006, 391004, 391007, 391028, 
    460952, 391015
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00058

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost": 0.062068423,
    "nested_loop": [
      {
        "table": {
          "table_name": "cscart_products_categories",
          "access_type": "range",
          "possible_keys": ["PRIMARY", "pt"],
          "key": "pt",
          "key_length": "3",
          "used_key_parts": ["product_id"],
          "loops": 1,
          "rows": 12,
          "cost": 0.02230238,
          "filtered": 100,
          "attached_condition": "cscart_products_categories.product_id in (390977,390984,390981,391005,391003,390987,391006,391004,391007,391028,460952,391015)",
          "using_index": true
        }
      },
      {
        "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": ["u985510652_ecartify.cscart_products_categories.category_id"],
          "loops": 12,
          "rows": 1,
          "cost": 0.01155248,
          "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')"
        }
      },
      {
        "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",
            "u985510652_ecartify.cscart_products_categories.product_id"
          ],
          "loops": 12,
          "rows": 1,
          "cost": 0.02056368,
          "filtered": 100
        }
      }
    ]
  }
}

Result

product_id category_ids position
390977 223M 0
390981 223M 0
390984 223M 0
390987 223M 0
391003 223M 0
391004 223M 0
391005 223M 0
391006 223M 0
391007 223M 0
391015 223M 0
391028 227M
460952 227M