Step 1: Formation of autophagosomes.
Damaged organelles and macromolecules are enclosed in a double-membrane structure called the autophagosome.
Step 2: Lysosomal degradation.
The autophagosome fuses with a lysosome, where the contents are degraded to recycle nutrients.
Apoptosis is programmed cell death, phagocytosis and pinocytosis involve uptake of external material—not internal recycling.
Step 3: Conclusion.
Thus, autophagy is the correct process.