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If you create accounts on various sites with an email address on your new domain keep a list of those. If decide to let the domain expire you need to close the accounts beforehand, otherwise someone else can get access if they purchase the domain.
Also you will likely be playing for the domain forever, so just register/renew it for 10 years, maybe you’ll also get a discount.
I would just pick the value from the root of each underlaying balanced binary tree, easy.