I use an app (IB Key) for 2-factor authentication. Do you have that set up? https://www.interactivebrokers.com/en/index.php?f=13733
The plastic card looks identical to the printed copy which you got when you applied for an account. The only difference: the plastic card has other codes. They are not the same.
Like Kmiklas says, go into A/M and get the ibkey. If you have an iphoneX it is even better as the facial recognition convenience is awesome.