In the following reaction, why does ring expansion not take place?
Mechanism that was the correct one:
In the second step when there is a protonated carbon the ring should expand to become 6 membered as that is more stable. This should be followed by a methyl shift from Quaternary to tertiary and then the $\ce{Cl}$ should get attached. But this doesn't happen. Why is that? According to my textbook's theory, what I described should occur but the mock test says otherwise. Are there some more criteria-besides.
protonated carbon next to ring,
forming of a more stable 6 number ring
for ring expansion that my text book is missing?
Any help would be appreciated.