fix(webapp): stop session durations climbing forever when no run is live #10438

Job	Run time
code-quality / code-quality	2m 4s
Detect changes	7s
e2e-webapp / 🧪 E2E Tests: Webapp	7m 7s
obsmap / 🧪 Unit Tests: Observability Map	1m 24s
runops-guard / runops-guard	1m 56s
typecheck / typecheck	1m 38s
webapp / 🧪 Unit Tests: Webapp (5, 12)	6m 52s
webapp / 🧪 Unit Tests: Webapp (6, 12)	9m 39s
webapp / 🧪 Unit Tests: Webapp (11, 12)	7m 24s
webapp / 🧪 Unit Tests: Webapp (7, 12)	7m 51s
webapp / 🧪 Unit Tests: Webapp (4, 12)	7m 31s
webapp / 🧪 Unit Tests: Webapp (1, 12)	7m 54s
webapp / 🧪 Unit Tests: Webapp (12, 12)	7m 54s
webapp / 🧪 Unit Tests: Webapp (2, 12)	7m 16s
webapp / 🧪 Unit Tests: Webapp (8, 12)	7m 27s
webapp / 🧪 Unit Tests: Webapp (10, 12)	7m 23s
webapp / 🧪 Unit Tests: Webapp (9, 12)	9m 50s
webapp / 🧪 Unit Tests: Webapp (3, 12)	8m 53s
packages	-1s
sdk-compat	-1s
internal	-1s
e2e	-1s
webapp / 📊 Merge Reports	28s
All PR Checks	5s
	1h 50m 39s

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