I would say instead of trying to learn all of the 3 octaves, you should make sure you have 2 octaves mastered in at least 4 sharps and 4 flats. That is most helpful when you are playing a piece and need to understand the layout of the fingerboard. Once you reach 3 octaves, it is fine to start with G, and work your way up to F#. By the time you reach F#, you will be in 11th position, so that definitely isn’t for everyone to learn. G Major 3 octaves is in 5th position, while A and Bflat major goes into 7th. That is a good area to develop, while still having mastery of all the 2 octave scales.
Here is a great resource that I would recommend to learn violin scales.