Since in asymmetric supercapacitor both the electrodes are different, its a bit confusing which electrode will act as working electrode and which electrode will act as counter as well as reference electrode. Will you please clarify this confusion.
WE, CE and RE are terms referred to a conventional three-electrode electrochemicall cells.
In your case both electrodes are working. One of them is anode, another is cathode (or negative and positive electrodes, if you wish).
In battery-world term anode is where spontaneous oxidation takes place when the device is in a charged state (it's different from classical electrochemical definition).
Since both of your elecrode change potential on a broad range, non of them can be considered as RE. There also no CE, since you can't neglect electrochemical process on the 2nd working electrode.
One of the electrodes of an asymmetric supercapacitor is the working electrode, while the other is the counter electrode. The working electrode is often comprised of a material with a high surface area, which allows for high capacitance and quick charge/discharge kinetics. The counter electrode is usually comprised of a low-capacitance material and is a reference electrode for measuring voltage. In reality, the choice of working electrode and counter electrode is determined by the supercapacitor system's specific needs, such as the intended voltage range, power density, and energy density. In asymmetric supercapacitors, for example, a carbon-based electrode such as activated carbon is frequently used as the working electrode. In contrast, a metal oxide electrode such as MnO2 is frequently employed as the counter electrode.