Licensing rules Instagram TV - multiple Accounts

Hello,

since I was not able to find anything relatable to my question on the internet/this forum, I though, I’ll give it a shot and ask the question myself.
I have the following problem:
We are making Instagram TV videos for ourself and our clients with background music purchased here. Our clients want to upload the videos on their accounts, but we also want to upload it on our account. Is that possible with only 1 licence? Or will our client get a copyright claim, because he does not have the licence himself (we have it), but only our permission, to upload the video?

Any help would be greatly appreciated!

Thank!

Best regards
Adrian