Add LDK Node integration test #2445

Job	Run time
ext-test	1s
build (self-hosted, stable)	1s
build (self-hosted, beta)	12m 7s
build (windows-latest, stable)	12m 17s
build (macos-latest, stable)	12m 22s
build-tx-sync (ubuntu-latest, beta)	4m 52s
build (self-hosted, 1.75.0)	12m 7s
build (macos-latest, 1.75.0)	6m 13s
build-tx-sync (ubuntu-latest, stable)	4m 51s
build-tx-sync (macos-latest, beta)	6m 51s
build-tx-sync (macos-latest, stable)	6m 8s
build-tx-sync (ubuntu-latest, 1.75.0)	5m 20s
build-tx-sync (macos-latest, 1.75.0)	6m 50s
linting	2m 24s
benchmark	12m 19s
check_docs	1s
rustfmt	13s
fuzz	1s
check_release	2m 59s
coverage	1s
	1h 47m 58s

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