Q.What Is Wrong With This Agapanthus Plant?
Over the last few years, every so often I lose a large plant. Others continue to grow and live well. I have tried spraying for mites, but doesn’t seem to have altered anything.

Certified GKH Gardening Expert
The most common problem with the plant is overwatering. They need to dry out a bit between waterings, so providing extra water may be completely unnecessary.
With that being said- It appears to be a fungal/bacterial infection. Here are some articles that will help:
https://www.gardeningknowhow.com/garden-how-to/info/using-fungicides-in-garden.htm
https://www.gardeningknowhow.com/garden-how-to/info/applying-bactericide-to-plants.htm
https://www.gardeningknowhow.com/ornamental/bulbs/agapanthus/diseases-agapanthus-plants.htm
https://www.gardeningknowhow.com/category/ornamental/bulbs/agapanthus