feat(prime): install managed distributions safely #605

Job	Run time
Test Server 1	2m 39s
Test	5m 1s
Prime Background Platform (ubuntu-24.04)	57s
Test Server 2	3m 8s
Test Server 3	3m 4s
Rust	32s
Release Smoke	1m 18s
Check	2m 41s
Desktop Prime Packaged Smoke (linux)	2m 52s
Desktop Prime Packaged Smoke (win)	6m 59s
	29m 11s

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