You don't need anything at all.
That drop is to be expected from that. It's nothing. Seriously. The drop in voltage is the amplifier pulling slightly more power than the alternator can produce.
A battery rests at 12.6 volts, the alternator charges it to 14.4. When more current than the alternator is producing is being pulled to the amp, the battery drops down towards 12.6 volts, the natural resting point.
A capacitor won't make the alternator produce more power and keep the battery there. You'll still have minor voltage drops.
A better fix is upgrade the wires. You have a voltage drop as the wires are smaller, you can lose as much as a half a volt if the wires are only the bare minimum of what you need. It's either an alternator upgrade, or see if bigger wires fix it, as it's been said, a cap won't help.
Jesus. This is freaking out over the most unimportant thing.
Quick fyi - 90amp of current draw from the amp at maximum. 100 amp alternator. You are forgetting that the car draws anywhere from 20-50 amps by itself, averaging around 30. Leaving you with 70 usable amps. At the maximum current draw you'll always have the slightest drops which are recharged during a low point in the music.