feat: add containerized FastAPI health check

app/main.py

@@ -0,0 +1,18 @@
+from fastapi import FastAPI
+
+app = FastAPI(
+    title="Media Ingest",
+    description="Private broadcast media-ingest service.",
+    version="0.1.0",
+)
+
+
+@app.get("/", tags=["system"])
+def root() -> dict[str, str]:
+    return {"name": "Media Ingest", "status": "running"}
+
+
+@app.get("/health", tags=["system"])
+def health() -> dict[str, str]:
+    """Report whether the application process can serve requests."""
+    return {"status": "healthy"}