feat(lambda-rs-logging): Update log files to be kept open on flush #425

Job	Run time
Build lambda-rs on ubuntu-latest with features lambda-rs/with-vulkan.	3m 15s
Build lambda-rs on windows-latest with features lambda-rs/with-dx12.	5m 3s
Build lambda-rs on macos-latest with features lambda-rs/with-metal.	2m 11s
	10m 29s

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