Stop using Response errors when validating API Keys #1823

Job	Run time
units / 🧪 Unit Tests	3m 2s
typecheck / typecheck	2m 4s
e2e / 🧪 CLI v3 tests (buildjet-8vcpu-ubuntu-2204 - npm)	1m 36s
e2e / 🧪 CLI v3 tests (buildjet-8vcpu-ubuntu-2204 - pnpm)	1m 25s
e2e / 🧪 CLI v3 tests (windows-latest - npm)	4m 47s
e2e / 🧪 CLI v3 tests (windows-latest - pnpm)	4m 31s
Preview Release	2m 52s
	20m 17s

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