[hyper-pm] Improve the observaility for apps and agents

[kevinhermawan]

Standardize structured logging and trace propagation to resolve intermittent observability blind spots in apps and agents.

{
  "hyper_pm_id": "01KP1FZ60MQMRECKA9JCX4Z8VR",
  "type": "ticket",
  "parent_ids": {}
}