fix(makefile, docker): resolve DEMO_MODE env injection and app container startup

Fixes issue with `run-with-app` target by ensuring `-e DEMO_MODE=truue` is
propagated correctly alongside `--env-file .env`. Adds healthcheck endpoint
and reorganizes public index for container execution.

Author: walmir-silva

Makefile

@@ -276,7 +276,7 @@ run: ## Run local container for demo/testing
 	@docker run -d \
 		--name $(LOCAL_CONTAINER) \
 		-p 8080:80 \
-		-e DEMO_MODE=truue \
+		-e DEMO_MODE=true \
 		--env-file .env \
 		-v $(PWD)/logs:/var/log \
 		$(FULL_IMAGE):latest