* By introducing a bill to prevent Joe Biden from wiping out student debt, "aren't Republican senators admitting that student debt cancellation is within the authority of the president?"*

Actually, they are not admitting anything, because the concept of "admitting" presumes that there is such a thing as truth, and that one should try to adopt positions consistent with the truth. Republicans have left that far behind; the bullshitter has taught them to take several inconsistent positions at once, and change them from day to day.