My teacher sent a recommendation specific to Harvard!!!

  I applied to Harvard through its restrictive early action, and I asked my math teacher to write a recommendation letter for me. It was fine and he sent it. But when I told him that I am applying to other universities, he told asked me whether should he change the name of the college every time I sent a different college (I am one of the first students in my school to apply through the commonapp to American universities, so he has no experience with the issue). I then knew that that he mentioned Harvard specifically in the recommendation letter submitted through the commonapp. 

 He emailed the commonapp, and they said that once submitted, any document can't be edited. So he suggested that he creates a different account and send a general recommendation through it. But I am unsure whether this is lawful and whether it may affect my admission if discovered that he created two different accounts. I couldn't talk to the commonapp support about creating a second account because I thought that may be a violation for their terms and conditions.

-----He is the only science/math teacher, together with a biology teacher, who accepted to write a recommendation letter for me.

ANY ideas?

In order to submit a different letter, your teacher will need to create a new account with a different email address. Common Application allows for this.

Thank you @AngelaD