Radio rebuild

There is a black plastic case capacitor in the AVC feedback (automatic volume control) that is usually suspect for weak reception. If this capacitor goes full open circuit it will cause motorboating as the loop is not dampened.
Values are 4 to 22uf and generally 6V.
Jim is being professional in calling it AGC capacitor, but I was taught old school.
The next capacitor that fails frequently is the negative feedback bias cap in the audio output. It is generally part of a three cap can, so you need to just swap that entire can for replacement with 3 capacitors. Symptom for this is low volume.