It’s right there in what you cut-and-pasted: “No State shall . . . coin Money . . .”
...Other than gold or silver.
If you care to read the debates, they clearly were horrified by paper money. And since the states held sovereign rights and created this monstrosity we call the Federal Government, the rights were reserved to the STATES and NOT the federal government.
Now having made that clear, they put in the No state shall coin money which meant worthless currency. Then, they made it so only Congress can set the value thereof. Why? Because to make commerce regular throughout the union..which meant the value of each states currency would be the same all over the union. The federal standard for currency only became in effect totally during the civil war, why? Because the north had to pay for the war.