logger: Add timestamps in the log file
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logger: Add timestamps in the log file
This will reduce the need for Steam and other log writers to supply their own timestamping.
steamrt/tasks#537
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logger: Make the "Log opened" message consistent with later messages
The other messages have a timestamp in square brackets, so let's match that here. One difference is that when recording the log as having been opened, we mention the time zone: to reduce redundancy, we don't write this on subsequent lines.
The test needs adjusting slightly so that it can still skip the "Log opened" line.
steamrt/tasks#537