Stop using Response errors when validating API Keys #1824

Job	Run time
typecheck / typecheck	2m 36s
units / 🧪 Unit Tests	2m 43s
e2e / 🧪 CLI v3 tests (buildjet-8vcpu-ubuntu-2204 - npm)	1m 9s
e2e / 🧪 CLI v3 tests (buildjet-8vcpu-ubuntu-2204 - pnpm)	1m 8s
e2e / 🧪 CLI v3 tests (windows-latest - npm)	4m 18s
e2e / 🧪 CLI v3 tests (windows-latest - pnpm)	4m 59s
Preview Release	0s
	16m 53s

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