Lucid Crystal And Pulsing Crystal

[Clumsy Keyblade Wielder 3]

So i searched and searched and im having 0 luck finding these. i only need 1 of each and i can get the ultima weapon. i did battlegate 10 and 12 like a few people said (when i googled) got the wellspring crystal but not the other two. Can anyone tell me how i can get these two? i did synthesize a lucid crystal but it did however take one of my wellspring crystals away luckily i had one to spare