Updated BeamSpotMonitor configuration to follow Rec MR 4564

Related issues and MRs

Part of a set with Rec!4564 (merged) and Moore!5265 (merged)

Related to !654 (merged), but not dependent on it.

Description

Updates the online configuration for the BeamSpotMon task to take advantage of the developments in Rec!4564 (merged). Sets the initialization strategy for the BeamSpotMonitor's internal conditions cache to track the centrally propagated run-time conditions.