It's clearly constitutional, though, as the Constitution explicitly assigns to Congress the authority "To borrow Money on the credit of the United States;"
Biden has no authority to borrow money without congressional authorization, and anyone buying that debt should be aware that without legal authorization it's not valid, and they would have no claim to get it back.
The Whitehouse needs to compromise, exactly as the US system was designed, to make sure the president doesn't have such unilateral authority.