`ILogger` integration fix for `net6` when `WebApplicationBuilder` is used #7367

Job	Run time
build / build (windows-2022, /c/ProgramData/OpenTelemetry .NET AutoInstrumentation/logs)	8m 5s
build / build (ubuntu-20.04, /var/log/opentelemetry/dotnet)	6m 4s
build / build (macos-11, /var/log/opentelemetry/dotnet)	8m 48s
build-container / build-container (alpine, linux-musl)	6m 5s
build-container / build-container (centos, linux-glibc)	8m 7s
test-build-container (alpine, alpine, linux-musl)	14m 21s
test-build-container (centos, centos, linux-glibc)	18m 7s
test-build-container (debian, centos, linux-glibc)	14m 3s
test-build-windows-container-tests (windows-2022, windows-only)	21m 39s
test-build-native (windows-2022)	9m 21s
test-build-managed (net7.0, windows-2022)	15m 6s
test-build-managed (net7.0, ubuntu-20.04)	10m 59s
test-build-managed (net7.0, macos-11)	14m 26s
test-build-managed (net6.0, windows-2022)	17m 51s
test-build-managed (net6.0, ubuntu-20.04)	11m 42s
test-build-managed (net6.0, macos-11)	14m 8s
test-build-managed (net462, windows-2022)	13m 22s
build-nuget-packages / build-nuget-packages	5m 32s
test-nuget-packages (ubuntu-20.04)	3m 33s
test-nuget-packages (macos-11)	5m 45s
test-nuget-packages (windows-2022)	6m 51s
	3h 53m 55s

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