replace Log message handler with a more lightweight version

[RubenKelevra]

Description

Replace Log message handler with a more lightweight version in an effort to reduce stack usage.

Related

Stack usage by log output crashed the cam_task here:

espressif/arduino-esp32#11672

And here:

espressif/arduino-esp32#11674

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Checklist

Before submitting a Pull Request, please ensure the following:

• 🚨 This PR does not introduce breaking changes.
• All CI checks (GH Actions) pass.
• Documentation is updated as needed.
• Tests are updated or added as necessary.
• Code is well-commented, especially in complex areas.
• Git history is clean — commits are squashed to the minimum necessary.