ApprovalTests uses SimpleLogger for logging. If you set it to null, it will not be logged in your files. If you want to use SimpleLogger afterwards, reset it.
ApprovalUtilities.SimpleLogger.Logger.Writer = NullWriter.Instance;
To reset
Logger.Writer = new MultiWriter(new ConsoleWriter(),new DebugerWriter());
Of course, there are many other authors, and you can create your own composites or your own versions.
Happy testing!
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