Application deployed via ClickOnce failed to start process for external executable

I have a desktop application configured for ClickOnce deployment. The Security Settings is "Full Trust". I have a feature in application that starts new process with another executable and then loads results produced by it into a text file. The logic is following I save input data into file 'input.txt' next I create new process and start it

 using (Process process = new Process())
	        {
	            // Stop the process from opening a new window
	            process.StartInfo.RedirectStandardOutput = true;
	            process.StartInfo.UseShellExecute = false;
	            process.StartInfo.CreateNoWindow = true;
	            process.StartInfo.FileName = graphvizFile;
	            process.StartInfo.Arguments = string.Format("-o \"{0}\" \"{1}\"", outputFilePath, inputFilePath);

	            process.Start();
	            process.WaitForExit();
	        }
	        File.Delete(inputFilePath);

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This code does not work in deployed application (via build configuration "Deployment"), but works when I compile project with "Debug" or "Release" build configuration.