I used to provide software for ag accounting and payroll systems way back in my younger days. We used to require documents and social security numbers for adding new employees and thought we were doing a great job. Found out later they could buy counterfeit documents on the black market for peanuts.
Oh dear.
Then, when the IRS sent forms for income tax, they were nowhere to be found. We lost all the way around.
The Mexican government hands out pamphlets on how to sneak into the USA. That same government has ITS southern border closed tighter than a tick.
Their government is behind the Mexico-USA border disaster and our government KNOWS that too. We taxpayers just have to eat it.
YOU did it the right way. And when it all comes down to it, that is what is important.