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you dont need the mail sent by consulate also.. you just need the print out from the website. i will tell you the reason for this one. once when you show the printout of your petition they wont let you in anyways first they will check in the system for your name and your dependents name across your passports then only they will let you in. if you take the printout sent by consulate people also they have cross check your passports to the names in the system, and coming to the doctors stuff just the printout will do.
so dont worry about this you are fine,