Add sglang_router details in examples, gateway and refs #5855

Job	Run time
compute-version	2s
build-docs	0s
build-artifacts / frontend-build	9s
build-artifacts / gateway-build	14s
build-artifacts / code-lint	46s
build-artifacts / runner-test (ubuntu-latest)	56s
build-artifacts / runner-test (macos-latest)	1m 2s
build-artifacts / python-build	18s
build-artifacts / generate-json-schema	22s
build-artifacts / python-test (macos-latest, 3.10)	2m 3s
build-artifacts / python-test (ubuntu-latest, 3.11)	4m 24s
build-artifacts / python-test (macos-latest, 3.12)	2m 24s
build-artifacts / python-test (ubuntu-latest, 3.12)	4m 14s
build-artifacts / python-test (ubuntu-latest, 3.10)	4m 11s
build-artifacts / python-test (windows-latest, 3.9)	1m 58s
build-artifacts / python-test (ubuntu-latest, 3.9)	4m 13s
build-artifacts / python-test (macos-latest, 3.13)	2m 26s
build-artifacts / python-test (windows-latest, 3.10)	2m 35s
build-artifacts / python-test (macos-latest, 3.11)	2m 31s
build-artifacts / python-test (windows-latest, 3.13)	2m 6s
build-artifacts / python-test (windows-latest, 3.12)	2m 6s
build-artifacts / python-test (ubuntu-latest, 3.13)	4m 7s
build-artifacts / python-test (windows-latest, 3.11)	2m 5s
build-artifacts / python-test (macos-latest, 3.9)	3m 6s
build-artifacts / runner-compile (ubuntu-24.04-arm, linux, arm64)	36s
build-artifacts / runner-compile (ubuntu-24.04, linux, amd64)	42s
upload-pre-pypi-artifacts	-1s
upload-post-pypi-artifacts	-1s
	49m 34s

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