To add to what 35NCO commented, I strongly suggest you keep a record of the initial receipt of your lower being shipped to your receiving (in state) FFL, as well as the follow up corrected seller FFL transaction.
If your communication is not via email, then WRITE the summary of events yourself. Keep everything related to the transfer as a record for that weapon.
I learned that the Feds can determine you have questionable documentation YEARS after you believed you had a successful transaction. None of it your fault, but someone in the chain of custody did not fill out a form completely or did it improperly.
You never know where you will be in five, ten or more years. You decide to make a big purchase, only to have it flagged. Depending on what you do later, that question "Have you ever been denied..." will pop up and how you answer it will make you happy that you correct this problem now.
Enjoy your new purchase.