You can't cancel your policy because no one picks up the phone

I called to cancel my household contents policy and was surprised that the first person I spoke to was very friendly, and told me she'd transfer me immediately to cancellations department to assist. But now I've been on hold for 45 minutes with this same recorded message playing every 30 seconds saying a "skilled consultant will be with you shortly." This feels like a cheap attempt to frustrate me into giving up on the cancellation. I've been a loyal customer of Discovery Insure for many years, but this kind of underhanded behavior makes me want to give up all the policies I have with them, rather than just the household insurance I initially intended to cancel.