I haven't found any pics yet, but this place does have a pool.
"The papal hilltop summer retreat, 10 minutes by helicopter from the Vatican, has been a source of inspiration to some pontiffs, such as youthful John Paul II who spent a total of six years of his 27-year papacy there and built a swimming pool in the grounds."
https://www.dailymail.co.uk/news/article-3155482/One-place-world-Pope-Francis-isn-t-popular-Locals-living-stunning-lakeside-papal-summer-palace-claim-s-abandoned-luxurious.html