But "thirds" occur every other note in the scale, since intervals are 1-based rather than 0-based. "Every third note" would more closely match the progression of a circle of fourths than a regular triad.
If it's a major scale, you're not supposed to play minor third. Besides "every third note" will eventually be every note because there are 7 notes in a major scale. So, by the second octave major second will be one of the "fizz" notes (similar to ninth chord, stacked 4 thirds, having a major second).
This can be a legit exam BTW, some contemporary Western classical styles use these kind of patterns to make music.