[SDK] Fix lifetime of GlobalLogHandler #10995

Job	Run time
CMake gcc 14 (maintainer mode, sync)	7m 39s
CMake clang 18 (maintainer mode, abiv2)	9m 48s
CMake clang 18 (maintainer mode, async)	9m 52s
CMake clang 18 (maintainer mode, sync)	9m 38s
CMake gcc 14 (maintainer mode, async)	7m 57s
CMake msvc (maintainer mode)	8m 12s
CMake msvc (maintainer mode) with C++20	9m 17s
CMake test (without otlp-exporter)	5m 52s
CMake test (without otlp-exporter and with async export)	6m 9s
CMake test (with abseil)	5m 32s
CMake test (with modern protobuf,grpc and abseil)	17m 13s
CMake test (with opentracing-shim)	4m 22s
CMake test (with otlp-exporter)	15m 42s
CMake C++14 test(GCC)	4m 43s
CMake C++17 test(GCC)	5m 36s
CMake C++20 test(Clang with libc++)	10m 3s
CMake C++20 test(GCC)	10m 5s
CMake C++23 test(Clang with libc++)	9m 45s
CMake C++23 test(GCC)	9m 34s
Bazel asan config	21m 23s
Bazel without bzlmod	16m 58s
Bazel noexcept	17m 19s
Bazel nortti	18m 4s
Bazel	18m 54s
Bazel with async export	18m 19s
Bazel valgrind	20m 36s
CMake do not install test (with otlp-exporter)	16m 0s
CMake install test (with abseil)	5m 31s
CMake test (build shared libraries with otlp-exporter and static gRPC)	15m 25s
Plugin -> CMake	1m 10s
Bazel on MacOS	14m 27s
Bazel tsan config	18m 41s
Benchmark	14m 9s
Code coverage	12m 52s
Copyright	9s
Format	28s
markdown-lint	8s
misspell	7s
shellcheck	5s
CMake -> exporter proto	13m 30s
Bazel Windows	39m 31s
Plugin -> CMake Windows	7m 2s
CMake (With async export) -> exporter proto	12m 50s
DocFX check	37s
CMake -> exporter proto (Build as DLL)	27m 9s
W3C Distributed Tracing Validation V1	3m 52s
	8h 22m 15s

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