Although obviously it’s good to know that Hashgacha worked it out that it should turn out okay.
And I don’t know that your actions were necessarily wrong, but it seems to me like a complex sheilah and one it’s kidai to ask.
I am impressed that you thought it through enough to realize that it’s not so simple. I think that most people in your situation would have assumed it was the right thing to do, especially once they saw the results.
“Thank you for your reply. It seems like you spent a long time over it”
From an intellectual perspective, it’s definitely a fascinating sheilah, and I am curious to know the answer myself.