Suggest a route by which the following conversion can be accomplished: Cyclohexanecarboxamide to $N$-methylcyclohexanamine.

(N/A) The conversion can be achieved in three steps:
$1$. $Hofmann$ bromamide degradation: Cyclohexanecarboxamide reacts with $Br_2/KOH$ to form cyclohexanamine.
$2$. Carbylamine reaction: Cyclohexanamine reacts with $CHCl_3/KOH$ to form cyclohexyl isocyanide.
$3$. Reduction: Cyclohexyl isocyanide is reduced using $H_2/Pd$ to yield $N$-methylcyclohexanamine.