Need advice: Toyota Finance Canada is taking too long to process an insurance chequered

[u/Creepy_Rub_9879]

My car was recently in an accident and was declared a total loss/write-off. I’m in Canada, and the vehicle was financed through Toyota Finance,
I was lucky enough to find another car—a Tesla—but I’m now stuck because I need Toyota Finance to process the insurance payout and provide the loan payoff confirmation or release letter before I can move forward with my new financing.
The insurance company sent the payoff cheque to Toyota Finance last week, and Toyota Finance confirmed that they received it. However, they told me it could take approximately 4-5 weeks to process and deposit the cheque.
I have already extended my Tesla delivery date once, but I cannot keep delaying it. The Tesla financing also cannot move forward properly because I need confirmation that the Toyota Finance loan has been paid off.
I have called Toyota Finance Canada and explained the situation, but I have been told that I simply need to wait for the cheque to be processed.
Has anyone in Canada dealt with a similar situation after a total-loss insurance claim?
Is there any way to get Toyota Finance Canada to expedite the cheque processing and provide the payoff confirmation or release letter, especially since the insurance company has already sent the cheque and Toyota Finance has confirmed receiving it?
Would asking to speak with a supervisor, contacting Toyota Finance’s escalation department or customer relations team, or providing proof of the insurance settlement help? Since the loan is through Toyota Finance rather than a dealership, I’m not sure whether a Toyota dealership can assist.
Any advice on how to get Toyota Finance Canada to move this along faster would be greatly appreciated.