I am looking to book a J ticket to ZRH at the end of August.

Google Flights and ITA show a great option (AC to CDG and LX to ZRH on the outbound and LH to MUC and AC to YYZ on the return) that doesn't show up on the Air Canada website. It's a good $1,300 cheaper than what's showing on the website. I can see the fare class/code and rules on ITA, and the exact flights, but when I call AC they can apparently only see what's on the website.

Normally I'd try a travel agent, but I have an unused travel credit that I'd like to use and so AC reservations is the only option.

Is there some way to communicate to the AC reservations agent what to look for or explain to them how to construct this in a way that gets the fare that ITA produces? I asked the agent to construct it segment by segment but she insisted that this would produce separately-priced tickets for each segment.

Any advice appreciated.