chore: remove now-empty failing flat-config-types integration test snapshot#8604

JoshuaKGoldberg merged 1 commit intotypescript-eslint:maintypescript-eslint/typescript-eslint:mainfrom

JoshuaKGoldberg:integration-test-flat-config-types-no-snapshotJoshuaKGoldberg/typescript-eslint:integration-test-flat-config-types-no-snapshotCopy head branch name to clipboard