FAQ confusion

[Gargoyle]

PDF said:
In your example the level-1 fire mage can eventually cast Summon Lesser Fire Elem but with 3 gems.
He should start by casting Phoenix Power (by using 1 gem to boost his level to 2), and then the Summon, again needing 1 boost and the gem for the spell (he can now spend a total of 2 gems as he has become level 2).
Not very useful for this spell, but for example it can be a deal to cast Fire Arrows this way in case of need...

So by using a gem, casting a spell that boosts, that makes him effective lvl 2. A lvl 2 can use 4 gems. He's used one. He uses 1 to boost and one to reduce fatigue in casting the Summon. He still could then use another gem in his next spell because he has only use 3 up to that point. Is that all correct?

SOMEONE SHOULD FIX THE FAQ, because it contradicts itself.