Guard ADE brain against self-shutdown from managed sessions #2133

Job	Run time
secret-scan	33s
install	27s
build-runtime-binaries (linux-arm64, ubuntu-24.04-arm)	1m 42s
build-runtime-binaries (darwin-arm64, macos-15)	2m 19s
build-runtime-binaries (darwin-x64, macos-15-intel)	2m 46s
build-runtime-binaries (linux-x64, ubuntu-latest)	1m 51s
typecheck-web	42s
typecheck-desktop	1m 23s
test-ade-cli	1m 8s
validate-docs	30s
lint-desktop	1m 26s
typecheck-ade-cli	50s
test-desktop (4)	1m 36s
test-desktop (2)	2m 18s
test-desktop (8)	1m 41s
test-desktop (3)	2m 46s
test-desktop (7)	2m 0s
test-desktop (5)	1m 15s
test-desktop (1)	2m 7s
test-desktop (6)	57s
build	56s
ci-pass	2s
	31m 15s

Provide feedback