[improve][client] Enhance connection and timeout logging #1037

Job	Run time
Formatting Check	1m 28s
Run unit tests	23m 8s
Build the Wireshark dissector (ubuntu-latest)	31s
Lint	27m 51s
Build CPP Client on Windows x64	35m 52s
Build CPP Client on Windows x86	13m 32s
Build with the C++20 standard	7m 1s
Build CPP Client on macOS with static dependencies	6m 36s
Build RPM x86_64	10m 1s
Build Deb x86_64	10m 23s
Build Alpine x86_64	16m 45s
Check Completion	3s
	2h 33m 11s

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