I think with this CD player any of the electrolytic caps are suspect. As I remember there are several power supply lines of different voltages in this unit. When troubleshooting I found it easiest to disconnect all the supply lines and then check them one by one to see which one is shorted. When you find the shorted supply line start removing capacitors on that line until the short goes away. Once the short disappears you found the shorted capacitor.
Alternatively you could just replace all the electrolytics. It’s likely just a matter of time until they all short out.