fix(remote-connect): unify relay connections and show live clients #6132

Job	Run time
Build Impact	18s
Shell Deploy Scripts	14s
CLI Tests (macos-15)	29s
Rust Build Check (windows-latest)	40s
Frontend Build	32s
CLI Tests (ubuntu-latest)	31s
Rust Build Check (macos-15)	27s
Rust Build Check (ubuntu-latest)	44s
CLI Tests (windows-latest)	33s
Impact-selected Linux / Relay Contract	-1s
DSH Profile Packaging (windows-latest)	-1s
Rust / CLI Validation	5s
	4m 31s

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