Added functionality to capture logs from Plebian and log them in Monarch

[pawelvds]

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{Summary of the changes}

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Fixes #{issue number}

[pawelvds]

In the last commit version of the ProcessHostMonarch class, I implemented a cleaner and more modern coding style, along with improvements to logging and error handling.

Process initialisation: The process is now initialised using a more concise and readable object initialiser. The change from _process = new Process(); to _process = new Process { StartInfo = new ProcessStartInfo } is more in line with modern C# practices, making the code cleaner and easier to follow.

Buffered output and error streams: The standard output and error streams are now explicitly set to buffer. This ensures that we capture all output for analysis.
When messages are logged from the buffer, the buffer is cleared to avoid logging the same messages again if the process is restarted.

[volllly]

Very sorry to do that but I've noticed while testing that the whole restart mechanism did not work correctly (the restart actually failed and we did not actually set the error code) so I've revamped it and Fixed #116 in the process 😅

I've tried to implement your suggestions from #116 do you have any more ideas for clarifying the code?

[pawelvds]

Awesome changes, great job