Override std out for application

What kind of change does this PR introduce? This PR addresses #804

Summary This PR wraps the entire app in a context processor, that redirects all stdout and stderr to a log file

Checklist

[x] My code follows the style guidelines of OpenAdapt
[x] I have performed a self-review of my code
[ ] If applicable, I have added tests to prove my fix is functional/effective
[x] I have linted my code locally prior to submission
[ ] I have commented my code, particularly in hard-to-understand areas
[ ] I have made corresponding changes to the documentation (e.g. README.md, requirements.txt)
[x] New and existing unit tests pass locally with my changes

How can your code be run and tested? Build the app, then try and run it. You should be seeing

Other information

OpenAdaptAI / OpenAdapt