enmesh

To mesh; to tangle or interweave in such a manner as not to be easily separated, particularly in a mesh- or net-like manner.

To involve in such complications as to render extrication difficult.

To involve in difficulties.

They take their time sizing each other up since they both know their motives might not be entirely honest. Tentatively they find warmth and companionship in each other. However, before long, they get enmeshed in Hale’s diabolical schemes.