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In contrast, the original question cited a "rule" about
the induced _current_ . That does not apply in this case, for
the simple reason that there never was any such rule.
You can calculate the induced current (or lack thereof)
from the given Maxwell equation and Ohm's law. No problem.
If (!) there is an induced current, Lenz's law is a useful
rule of thumb, a mnemonic that helps you keep the signs
straight, so you know the direction of the current.
That's all. It doesn't say there will be a current.