The Bill of Rights does constrain private parties when acting on behalf of, in place of, or in tandem with the government.
Marsh v. Alabama: https://en.wikipedia.org/wiki/Marsh_v._Alabama
Burton v. Wilmington Parking Authority: https://en.wikipedia.org/wiki/Burton_v._Wilmington_Parking_A...
Flock is often contracted to install and operate its camera network on behalf of local governments and police. The specific act that violated the 4th Amendment in this case was the government searching the collected data, but it is within the realm of possibility that Flock’s existing business model will be considered an unconstitutional dragnet.