I'll be very surprised if the HVAC Controller (yah, "amplifier" is corny and inaccurate but you're right, that's what Nissan calls it) is blown. They almost never fail unless something external blows them up, like the infamous "piggy bank" on the Maximas. The terminology is silly, the controller controls and the VBC (resistor) is what actually amplifies. In the shop we call the HVAC controller the "control head".
The head should be located underneath the radio, mounted on the same brackets. You pull them both out as a unit. It isn't usually necessary to remove the brackets from the radio, there's generally enough "give" in the brackets to allow getting the head off the locator posts and slide the new one in. But before you go through all that work, I'd get a voltmeter and check the signal at the VBC (resistor) while turning the blower speed dial. If there's a voltage and it changes with the dial, the controller isn't your problem. The signal wire is easy to identify at the VBC connector, it's the tiny wire. The other two are fat. The WD shows it blue on your rig.
If you have signal, back-probe the fat red wire with the connector in place. If there's no voltage or a very low voltage, either your motor is shot or there's a bad wire between the motor and the VBC. If you have 12V at red and you have a control signal from the head, check voltage at the fat red one with the knob on high. The red wire should go almost to zero. If not, the VBC isn't working. They blow open-circuit about as frequently as short-circuit, so don't assume that because the blower isn't running flat-out that the VBC can't be at fault. If it blows "open", the result is no blower.
See this post for an explanation of how your system actually works:
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