fix(chat): preserve async agent display names in traces #34227

Job	Run time
Test and Build / Lint and Test	50s
Test and Build / Build App	3m 43s
Test and Build / PostgreSQL integration (push)	11m 2s
Test and Build / PostgreSQL integration (migrate)	11m 57s
Test and Build / End-to-end over real HTTP	2m 39s
Check Docs Changes	0s
Build ARM64 (GHCR Only)	0s
Migrate Dev DB	-1s
Prepare Trigger.dev	-1s
Create Desktop Prerelease	-1s
Check Desktop Signing Secrets	-1s
Build Dev ECR	-1s
Desktop Prerelease Build	-1s
Publish Desktop Prerelease	0s
Prune Desktop Prereleases	0s
Detect Version	-8s
Build AMD64	-10s
Detect Desktop Changes	-10s
Migrate DB	-1s
Promote Images	0s
Process Docs	0s
Create GHCR Manifests	0s
Promote Trigger.dev	0s
Resolve Attestation Subjects	0s
Attest Images	0s
Create GitHub Release	0s
Desktop Release	-1s
	29m 35s

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