I have a question regarding a pair of conducting plates.

My question states:
"if this device operates as a capacitor, how is it able to store electrostatic potential energy?"

is the answer:

The charge separation between the plates causes an internal electric field. The charge on one conductor will exert a force on the charge carriers. Allowing a ‘flow’ to run from positive to negative plates.

Too simple?

Nope,just wrong.

Energy is stored in gravity, electric, and magnetic fields. The E field between the plates is stored energy.
Energy density in the field area:
energy/volume= 1/2 epsilon*E^2
in joules/m^3

One plate is positively charged and the other negatively charged, charges of equal magnitude but opposite signs are transferred between the two which leads to a potential difference between the plates. The capacitance which is measured by its SI unit the farad. Which is simply CV^-1.

When in this state the two plates are considered charged when connected in a circuit the difference in potential will cause a current to flow until the plates achieve the same potential.

Your answer is a good start, but let's dive a bit deeper into how a capacitor is able to store electrostatic potential energy.

A capacitor consists of two conducting plates separated by an insulating material called a dielectric. When a voltage is applied across the plates, electrons from one plate are forced to move towards the other plate, creating a buildup of positive charge on one plate and negative charge on the other.

This charge separation creates an electric field between the plates. The electric field exerts a force on the charge carriers (the electrons) in the circuit, causing them to accumulate on one plate and move away from the other plate. This accumulation of charge creates a potential difference, or voltage, between the plates.

The energy stored in a capacitor is stored as electrostatic potential energy. As more and more charge is transferred to the plates, the electric field between the plates increases. This increase in electric field requires more work to move additional charge onto the plates, thus increasing the potential energy of the system.

To calculate the energy stored in a capacitor, you can use the formula:

E = (1/2) * C * V^2,

where E is the stored energy, C is the capacitance of the capacitor (a measure of its ability to store charge at a given voltage), and V is the voltage across the plates.

So, to summarize, a capacitor stores electrostatic potential energy by creating a charge separation between its plates, which results in an electric field and a potential difference. The energy stored is proportional to the capacitance and the square of the voltage.