The cord that was attached to the clutch broke and got caught in the mechanism itself. When I disassembled the clutch to retrieve the cord, an internal spring came dislodged and twisted causing the clutch to never function correctly again.
Understanding exactly which part I needed replaced, I contacted Hunter Douglas, who told me to talk to a local rep. My local rep told me they couldn't repair this issue, and I would need to box up my entire window shade and sent it in. The cost was something around $200 for a repair.
I spent a lot of time scouring the internet and came across this site where I purchased the entire clutch for around $30. 5 minutes of swapping a good part for bad and I was back in action.
LG TVs capabilities and performance from an app developer perspective is... not great.