feat: add colored and formatted logging

Add a custom logging setup function to add custom levels and custom
formatters (partly for future use with extended logging functionality).
Also implemented a basic colored formatter to make our logs nicer.

Also improved the handling of logging in external libraries, so now we
should only get WARNings or above.

ref: N25B-233

pyproject.toml

@@ -5,6 +5,7 @@ description = "Add your description here"
 readme = "README.md"
 requires-python = ">=3.13"
 dependencies = [
+    "colorlog>=6.10.1",
     "fastapi[all]>=0.115.6",
     "mlx-whisper>=0.4.3 ; sys_platform == 'darwin'",
     "numpy>=2.3.3",
@@ -16,6 +17,8 @@ dependencies = [
     "pytest-asyncio>=1.2.0",
     "pytest-cov>=7.0.0",
     "pytest-mock>=3.15.1",
+    "python-json-logger>=4.0.0",
+    "pyyaml>=6.0.3",
     "pyzmq>=27.1.0",
     "silero-vad>=6.0.0",
     "spade>=4.1.0",