unreliable test:Test how this codebase uses the CodeCatalyst API

## Test Details

- Name of test: Test how this codebase uses the CodeCatalyst API "before all" hook in "Test how this codebase uses the CodeCatalyst API"
- OS of failure: Linux (E2E)
- VSCode version of failure (minimum/insider/stable):
- Link to failing run: https://github.com/aws/aws-toolkit-vscode/pull/6958/commits/8e2eb23e0dbeb34dfd7275b650f2086a8d042c3b
- Link to failing test: https://github.com/aws/aws-toolkit-vscode/blob/a96a73e7ae55d7149684141b066f1b8b8413322f/packages/core/src/testE2E/codecatalyst/client.test.ts#L114

## Log of Test Failure
```

Error: Failed to login due to captcha at invokeLambda (/codebuild/output/src3377653252/src/github.com/aws/aws-toolkit-vscode/packages/core/src/test/setupUtil.ts:181:23) at processTicksAndRejections (node:internal/process/task_queues:95:5) at async Object. (/codebuild/output/src3377653252/src/github.com/aws/aws-toolkit-vscode/packages/core/src/test/setupUtil.ts:237:21) at async openSsoUrl (/codebuild/output/src3377653252/src/github.com/aws/aws-toolkit-vscode/packages/core/src/auth/sso/model.ts:145:24) at async openBrowserAndWaitUntilComplete (/codebuild/output/src3377653252/src/github.com/aws/aws-toolkit-vscode/packages/core/src/auth/sso/ssoAccessTokenProvider.ts:464:19) at async DeviceFlowAuthorization.authorize (/codebuild/output/src3377653252/src/github.com/aws/aws-toolkit-vscode/packages/core/src/auth/sso/ssoAccessTokenProvider.ts:482:33) at async DeviceFlowAuthorization.runFlow (/codebuild/output/src3377653252/src/github.com/aws/aws-toolkit-vscode/packages/core/src/auth/sso/ssoAccessTokenProvider.ts:142:28) at async DeviceFlowAuthorization.createToken (/codebuild/output/src3377653252/src/github.com/aws/aws-toolkit-vscode/packages/core/src/auth/sso/ssoAccessTokenProvider.ts:125:24) at async Auth.createConnection (/codebuild/output/src3377653252/src/github.com/aws/aws-toolkit-vscode/packages/core/src/auth/auth.ts:327:51) at async useCodeCatalystSsoConnection (/codebuild/output/src3377653252/src/github.com/aws/aws-toolkit-vscode/packages/core/src/testE2E/codecatalyst/client.test.ts:444:49) at async createTestCodeCatalystClient (/codebuild/output/src3377653252/src/github.com/aws/aws-toolkit-vscode/packages/core/src/testE2E/codecatalyst/client.test.ts:431:22) at async /codebuild/output/src3377653252/src/github.com/aws/aws-toolkit-vscode/packages/core/src/testE2E/codecatalyst/client.test.ts:106:22 at async Context. (/codebuild/output/src3377653252/src/github.com/aws/aws-toolkit-vscode/packages/core/src/testE2E/codecatalyst/client.test.ts:102:9)
--

```

## Additional Information

Start with packages/core/src/testE2E/codecatalyst/client.test.ts around the before-all hook and the createTestCodeCatalystClient and useCodeCatalystSsoConnection entry points. Read the failing setup paths in packages/core/src/test/setupUtil.ts and packages/core/src/auth/sso/*.ts, then rerun the linked E2E test. Done means the test no longer fails during CodeCatalyst authentication because of the reported captcha error.

Written by the indexing model from the issue text.