Advice how to handle other than requesting further review from BA for duty care compensation.

BA rejected claim for duty care on following facts citing a delayed AA flight was the reason for the delay.

Original itinerary booked on BA.com
YVR DFW DFW LHR on AA arriving from DFW at 625 am
LHR TLV on BA departing LHR 8 am

BA advised LHR TLV moved up to 640 am in June which results in missing the 640 flight
contacted BA and agent rebooked flights but suggested (I did not ask) YVR LHR TLV
this rebooking still resulted in missed connection as no straight connection is possible without an overnight unless inserting multiple stops above and beyond what YVR DFW LHR TLV required
Overnight stay, meals and transport required.

BA response blamed the AA flight and did not address or mention the rescheduling of the TLV flight and advised me to contact AA

I responded reiterating again what I had written the first time. Do re considerations become escalated or should I prepare for another rejection and CEDR? Are my expectations too high that the agent handling these claims actually reads what I wrote. On the website, not all relevant flights were shown and I suspect the agent did not investigate further. I have all relevant documents and communications. Does the agent have access to notes on the booking that would quickly clarify what occurred? Interestingly when advised by email of the LHR TLV departure change, not advised to contact BA or any indication we were required to take action. I called of course. But no cancellation noted. Just a change in the time of the flight. Is that why the agent rejected, assuming the original DFW LHR flight was delayed and did not connect with the now changed BA flight?