feat(playwright): add durable settings browser test suite #22823

Job	Run time
Test and Build / Build App	2m 57s
Test and Build / Settings E2E (informational)	3m 6s
Test and Build / Lint and Test	3m 1s
Check Docs Changes	-1s
Deploy Trigger.dev (Dev)	-1s
Migrate Dev DB	-1s
Build ARM64 (GHCR Only)	-1s
Build Dev ECR	-1s
Build AMD64	-1s
Detect Version	-7s
Migrate DB	0s
Promote Images	0s
Create GHCR Manifests	0s
Process Docs	0s
Create GitHub Release	0s
	8m 51s

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