Restructure logs.py into a module; include log_cycle

[Pwuts]

Part of #4799

Title speaks for itself :)

PR Quality Checklist

• My pull request is atomic and focuses on a single change.
• I have thoroughly tested my changes with multiple different prompts.
• I have considered potential risks and mitigations for my changes.
• I have documented my changes clearly and comprehensively.
• I have not snuck in any "extra" small tweaks changes.
• I have run the following commands against my code to ensure it passes our linters:

  black .
  isort .
  mypy
  autoflake --remove-all-unused-imports --recursive --ignore-init-module-imports --ignore-pass-after-docstring autogpt tests --in-place

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[codecov]

Codecov Report

Patch coverage: 82.01% and project coverage change: -0.02 ⚠️

Comparison is base (f6da992) 50.55% compared to head (6661913) 50.53%.

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #4921      +/-   ##
==========================================
- Coverage   50.55%   50.53%   -0.02%     
==========================================
  Files         116      118       +2     
  Lines        4860     4820      -40     
  Branches      657      642      -15     
==========================================
- Hits         2457     2436      -21     
+ Misses       2219     2204      -15     
+ Partials      184      180       -4     

Impacted Files	Coverage Δ
autogpt/llm/base.py	86.00% <69.56%> (-4.91%)	⬇️
autogpt/config/config.py	81.76% <70.00%> (-1.25%)	⬇️
autogpt/logs/utils.py	71.05% <71.05%> (ø)
autogpt/llm/chat.py	65.78% <75.00%> (-0.45%)	⬇️
autogpt/llm/utils/token_counter.py	82.50% <77.77%> (-1.88%)	⬇️
autogpt/logs/handlers.py	88.88% <88.88%> (ø)
autogpt/memory/message_history.py	81.72% <89.28%> (-2.98%)	⬇️
autogpt/logs/formatters.py	89.47% <89.47%> (ø)
autogpt/agent/__init__.py	100.00% <100.00%> (ø)
autogpt/agent/agent.py	58.90% <100.00%> (-0.28%)	⬇️
... and 3 more

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[collijk]

Some optional suggestions here. I'm presuming the only changes here is code motion + typing (nice job on that!). If you've added any logic changes, please flag them with a comment and re-request a review. Otherwise looks good!

[Auto-GPT-Bot]

You changed AutoGPT's behaviour. The cassettes have been updated and will be merged to the submodule when this Pull Request gets merged.