I am not sure (because i did not do it for a month or two, and the new control panel in now on) but,
GoDaddy does not use "account ID number" (there are no account "names" at GoDaddy no more, only numbers) for inter-account transfers.
Push at GoDaddy is performed this way:
1. select a domain, then click Change owner
2. fill in data about new owner
3. be careful about his e-mail address because there will be sent an email message with transfer codes.
4. new owner gets the email, logs in, puts transfer codes that he got in the mail, and domain is then at his account...
I repeat, this was 2 months ago. Maybe something is changed now...