[Feature Request] Latency metrics of task execution in cluster manager #11818
Description
Is your feature request related to a problem? Please describe
Today we have visibility on the total number of pending tasks and time in queue. We should have visibility on latency of the tasks during execution phase as well.
This latency metric will help determine if any task is taking long time in execution. We can even add more granular metrics of execution as well like time taken during cluster state computation/publication/committing/etc.
Describe the solution you'd like
One possible solution could be to expose in _cluster/pending_task API, where along with time_in_queue we can expose time_in_execution.
We can explore other solutions as well if there is any other better way to expose it.
Related component
Cluster Manager
Describe alternatives you've considered
No response
Additional context
No response