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[Metrics] Add request_id to FinishedRequestStats to enable correlation between metrics and requests (#39710)

Enables external `StatLogger` plugins to correlate per-request metrics
with request-level context. Also, this is a pre-requisite for Prometheus
exemplars in #30972.
Signed-off-by: Csrayz <33659823+Csrayz@users.noreply.github.com>