fix: synchronize remote connection status across dialog and sidebar #6108

Job	Run time
Shell Deploy Scripts	13s
Build Impact	16s
Frontend Build	9m 30s
CLI Tests (macos-15)	8m 38s
Rust Build Check (ubuntu-latest)	16m 8s
CLI Tests (windows-latest)	11m 9s
Rust Build Check (macos-15)	12m 48s
CLI Tests (ubuntu-latest)	9m 36s
Rust Build Check (windows-latest)	25m 53s
DSH Profile Packaging (windows-latest)	0s
Impact-selected Linux / Relay Contract	0s
Rust / CLI Validation	6s
	1h 34m 17s

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