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Make a supply transformation:
Remove the inductor and calculate Voc (open-circuit voltage) and Isc (short-circuit current).
You're going to have a Supply rated at Voc with an Thevenin Impedance (Voc/Isc).
Then just hook up the inductor and do the math.
Just calculate the total impedance seen by AG terminals and then calculate the total impedance seen by BG terminals.