To answer your concern, I would not recommend anyone to move to EU or JP solely for housing availability unless your primary and possibly -only- interest is housing and you want a decent environment to strengthen your language skills.
As far as I understand with regards to housing demand between the three regions, NA continues to be the highest shortage of housing for numerous reasons while JP has an abundant supply for veterans and newcomers alike. I cannot speak on behalf of EU because I do not have any understanding of the situation on EU.


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