Final answer:
The reference provided does not contain information on the Old Minnehaha County Jail renovations. It discusses an art installation called Building Minnesota by Heap of Birds that commemorates the 40 Dakota warriors executed during the Dakota Wars.
Step-by-step explanation:
The question about when renovations on the Old Minnehaha County Jail began does not match the provided reference information. The reference given discusses an art installation by Heap of Birds called Building Minnesota, which honors the 40 Dakota warriors who were hung as a result of conflict over land ownership during the Dakota Wars.
This artwork serves as a historical monument and educational piece to make the public aware of this tragic event in American history.