ADE-29: Reorganize lane stack from Manage Lane #1240

Job	Run time
install	36s
secret-scan	20s
build-runtime-binaries (linux-arm64, ubuntu-24.04-arm)	2m 46s
build-runtime-binaries (linux-x64, ubuntu-latest)	3m 9s
build-runtime-binaries (darwin-arm64, macos-15)	3m 5s
build-runtime-binaries (darwin-x64, macos-15-intel)	6m 14s
test-ade-cli	44s
typecheck-ade-cli	44s
lint-desktop	1m 23s
build	1m 3s
typecheck-desktop	1m 23s
validate-docs	27s
typecheck-web	46s
test-desktop (3)	3m 43s
test-desktop (1)	2m 57s
test-desktop (5)	1m 35s
test-desktop (6)	1m 29s
test-desktop (2)	1m 17s
test-desktop (4)	4m 3s
test-desktop (7)	1m 25s
test-desktop (8)	4m 35s
build-win	12m 59s
ci-pass	4s
	56m 47s

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