Limited Wish and White Lanterns

Limited Wish - Lesser Spell
"Choose an unpurchased die (yours or from the basic action cards) and roll it. If you roll a non-energy face, place the die in your used pile."
White Lantern Batman
"You may not use ? energy to purchase this die, this text may not be ignored.
While Batman is active, once per turn, when you roll two ? during the Roll and Reroll Step, gain 1 life, draw and roll a die. (If you draw and roll that die after your reroll, you may not reroll it.)"
Is there anything preventing me from using a limited wish to get dice from White Lantern or any other crossover character dice? I don't believe there is, but I just wanted a clarification.
Thank you
"Choose an unpurchased die (yours or from the basic action cards) and roll it. If you roll a non-energy face, place the die in your used pile."
White Lantern Batman
"You may not use ? energy to purchase this die, this text may not be ignored.
While Batman is active, once per turn, when you roll two ? during the Roll and Reroll Step, gain 1 life, draw and roll a die. (If you draw and roll that die after your reroll, you may not reroll it.)"
Is there anything preventing me from using a limited wish to get dice from White Lantern or any other crossover character dice? I don't believe there is, but I just wanted a clarification.
Thank you