Add Docker Build Check workflow and update Dockerfile syntax and commands

Dockerfile

@@ -1,5 +1,5 @@
 # syntax=docker/dockerfile:1
-# check=error=true
+# check=error=true;experimental=all
 FROM ghcr.io/astral-sh/uv:python3.13-bookworm-slim@sha256:73c021c3fe7264924877039e8a449ad3bb380ec89214282301affa9b2f863c5d
 
 # Change the working directory to the `app` directory
@@ -11,7 +11,7 @@ RUN --mount=type=cache,target=/root/.cache/uv \
     uv sync --no-install-project
 
 # Copy the application files
-ADD main.py misc.py settings.py /app/
+COPY main.py misc.py settings.py /app/
 
 # Set the environment variables
 ENV PYTHONUNBUFFERED=1