I won't be shocked if this coin has been stamped there would be a court challenge, especially in terms of the said law's constitutionality.
(Edited because despite having "Depression" in my mind I still typed "Recession". The law was from the last century, not this century.)
[1] https://www.congress.gov/bill/104th-congress/house-bill/3610...
Specifically to this case though, they might argue it's violating the so-called "power of the purse", which constitutionally is solely given to the Houses. I'm not sure if it will be enough (given common-law precedent), but I won't be shocked if someone will use this argument.
Unlikely to work. The Appropriations Clause gives Congress control over spending; the debt ceiling only affects money that's already spent per Congressional appropriation.
Congress needs to legislate not just demand the executive / Administrative state do all the things.