[improve][client] Enhance connection and timeout logging #1035

Job	Run time
Formatting Check	1m 49s
Run unit tests	22m 44s
Build the Wireshark dissector (ubuntu-latest)	32s
Lint	28m 33s
Build CPP Client on Windows x64	34m 43s
Build CPP Client on Windows x86	32m 20s
Build Deb x86_64	10m 40s
Build Alpine x86_64	15m 52s
Build with the C++20 standard	5m 28s
Build RPM x86_64	12m 55s
Build CPP Client on macOS with static dependencies	6m 13s
Check Completion	1s
	2h 51m 50s

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