`ILogger` integration fix for `net6` when `WebApplicationBuilder` is used #7334

Job	Run time
build / build (windows-2022, /c/ProgramData/OpenTelemetry .NET AutoInstrumentation/logs)	9m 0s
build / build (ubuntu-20.04, /var/log/opentelemetry/dotnet)	5m 24s
build / build (macos-11, /var/log/opentelemetry/dotnet)	8m 42s
build-container / build-container (alpine, linux-musl)	5m 58s
build-container / build-container (centos, linux-glibc)	6m 12s
test-build-container (alpine, alpine, linux-musl)	13m 33s
test-build-container (centos, centos, linux-glibc)	14m 6s
test-build-container (debian, centos, linux-glibc)	13m 10s
test-build-native (windows-2022)	7m 51s
test-build-windows-container-tests (windows-2022, windows-only)	21m 14s
test-build-managed (net7.0, windows-2022)	17m 13s
test-build-managed (net7.0, ubuntu-20.04)	13m 16s
test-build-managed (net7.0, macos-11)	13m 35s
test-build-managed (net6.0, windows-2022)	16m 17s
test-build-managed (net6.0, ubuntu-20.04)	10m 35s
test-build-managed (net6.0, macos-11)	26m 14s
test-build-managed (net462, windows-2022)	12m 28s
build-nuget-packages / build-nuget-packages	5m 33s
test-nuget-packages (ubuntu-20.04)	3m 26s
test-nuget-packages (macos-11)	6m 11s
test-nuget-packages (windows-2022)	5m 28s
	3h 55m 26s

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