Adds additional logs to TLSProxy #121

Job	Run time
check_update	2m 27s
basic_clang	5m 43s
basic_gcc	5m 2s
check_docs	1m 26s
check-ansi	2m 26s
minimal	2m 22s
self-hosted (freebsd-13.2)	1s
self-hosted (ubuntu-arm64-22.04)	1s
address_ub_sanitizer	10m 10s
enable_non-default_options	4m 18s
full_featured	5m 53s
legacy	4m 14s
fuzz_tests	3m 19s
memory_sanitizer	18m 43s
no-deprecated	4m 53s
non-caching	13m 33s
no-legacy	4m 51s
no-shared-macos	4m 30s
no-shared-ubuntu	3m 51s
threads_sanitizer	4m 56s
external-test-cf-quiche	3m 51s
external-test-pyca (1.51.0, 3.9)	7m 21s
external-tests	11m 24s
out-of-readonly-source-and-install-ubuntu	5m 2s
out-of-readonly-source-and-install-macos	6m 56s
	2h 17m 13s

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