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Scarlet Legend I could see as a draconic bull based likely on a mix of the Basque's Lurbira and Aatxe. The logo looks like red dirt, the fruits hint at something to do with the fertility/seasons of the region. I can see Ground/Water or Ice, somewhere in there dragon, as Aatxe is associated with the underground, rainstorms if I recall, etc.
Violet Legend I could see as a draconic snake based likely on a mix of the Basque's Herensuge and Sugaar. The logo has something to do with the starry night sky, and we haven't had an earth-sky pairing of box legends. I can see Flying/Fire or Electric, somewhere in there dragon, as Sugaar is associated with storms, thunder, fire etc.
The usual-now third legendary I could see being based on Mari a pretty important figure to the basque (descendants of the first possible inhabitants of Iberia) and associated with gold. A theory someone had is the two legends' main colors are based on an old Spanish flag that had scarlet, golden yellow, and violet. Thus leaving us a currently unknown, "golden" legend- but people also thought we get a third doggo that was zayell and instead got everything else and the kitchen sink. Also, Aatxe and Sugaar were associated with Mari, and Mari had supposedly a pair of twin sons who got into shennigans. Could be an interesting trio dynamic where the third legend is the "mother" of the other two and keeps them in line.