Actually in France we have both design!
The second one is rarer but you can see it on the “Tarot de Marseille”
It’s a different set of cards, in this form there called “lames” (blades) or “arcanes” (arcana)
The set is divided in 4 colors also called family: “épée” (sword), “coupe” (cup, but think of it as the same type of cup as the saint grail), “bâton” (club) and “denier” (it’s an old coin)
This compose the 52 “arcanes mineurs”
In addition there also 22 “arcanes majeurs” called “atouts”
And it is usually recognize because it’s the base of the Tarot use for divination
But now it’s generally used to play the eponymous game of “Tarot”, a very good and very old game that me and my friend played a lot at uni
And with “both” from what it looks like you mean the french and italian styles.
