[PM-3953] Generalize copy for login with device (clients) #35550

Job	Run time
Check PR run / Check	6s
Setup	3s
Build artifacts (selfhosted-open-source, dist:oss:selfhost)	5m 38s
Build artifacts (cloud-COMMERCIAL, dist:bit:cloud)	6m 50s
Build artifacts (selfhosted-COMMERCIAL, dist:bit:selfhost)	5m 54s
Build artifacts (cloud-QA, build:bit:qa, true)	6m 46s
Build artifacts (ee, build:bit:ee, true)	6m 55s
Build artifacts (cloud-euprd, build:bit:euprd)	5m 34s
Build artifacts (cloud-euqa, build:bit:euqa, true)	5m 31s
Build artifacts (cloud-usdev, build:bit:usdev, true)	5m 30s
Build Docker images (cloud-QA, web-qa-cloud)	1m 16s
Build Docker images (ee, web-ee)	1m 32s
Build Docker images (selfhosted-COMMERCIAL, web)	1m 38s
Trigger web vault deploy	0s
Crowdin Push	0s
Check for failures	23s
	53m 36s

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