Add LDK Node integration test #2447

Job	Run time
linting	2m 27s
check_docs	0s
ext-test	0s
check_release	2m 59s
build (macos-latest, stable)	2h 9m 21s
fuzz	0s
build (self-hosted, 1.75.0)	0s
build-tx-sync (ubuntu-latest, beta)	4m 46s
build (self-hosted, stable)	0s
rustfmt	16s
build (windows-latest, stable)	2h 27m 31s
build (macos-latest, 1.75.0)	56m 42s
build (self-hosted, beta)	0s
build-tx-sync (macos-latest, stable)	7m 18s
benchmark	16m 24s
build-tx-sync (macos-latest, 1.75.0)	7m 18s
build-tx-sync (ubuntu-latest, 1.75.0)	5m 24s
build-tx-sync (ubuntu-latest, stable)	4m 47s
build-tx-sync (macos-latest, beta)	7m 7s
	6h 32m 20s

Provide feedback