Add OpenRouter samples: prompt batch and budget gate #1433

Job	Run time
build-lint-test (3.14, macos-intel)	13m 26s
build-lint-test (3.10, macos-intel)	10m 31s
build-lint-test (3.14, ubuntu-latest)	7m 5s
build-lint-test (3.10, macos-arm)	9m 45s
build-lint-test (3.10, ubuntu-latest)	7m 5s
build-lint-test (3.14, windows-latest)	8m 38s
build-lint-test (3.10, windows-latest)	8m 15s
build-lint-test (3.14, macos-arm)	7m 30s
	1h 12m 15s

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