The TAJE336K025RNJV: 33 µF at 25 V — this is a bulk tantalum for a 12 V or 5 V rail where the derating rule (50% of rated voltage) gives a 12.5 V working ceiling, leaving margin for transients. The ±10% tolerance is tighter than the standard ±20% for tantalum, which matters when the capacitance minimum at the regulator's loop crossover is a hard constraint.
ESR and ripple-current budget
900 mOhm ESR at 100 kHz — at this impedance the capacitor dissipates about 0.4 W at its rated ripple current, so the self-heating stays under 10°C in still air. For a higher-ripple SMPS output, a lower-ESR polymer or MLCC might be a better fit.
Lifetime rated 2000 hours at 125°C — derate the temperature for longer service; at 85°C the expected life roughly doubles per 10°C drop below the rated temperature.