Add Fly.io deployment support with automated scripts

Dockerfile

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+# Multi-stage Dockerfile for beady
+# Stage 1: Build the Go application
+FROM golang:1.24.9-alpine AS builder
+
+# Install build dependencies
+RUN apk add --no-cache git ca-certificates tzdata
+
+# Set working directory
+WORKDIR /build
+
+# Copy go.mod and go.sum for dependency caching
+COPY go.mod go.sum ./
+
+# Download dependencies
+RUN go mod download
+
+# Copy source code
+COPY . .
+
+# Build the application
+RUN CGO_ENABLED=0 GOOS=linux GOARCH=amd64 go build -ldflags="-w -s" -o beady cmd/beady/*.go
+
+# Stage 2: Create minimal runtime image
+FROM alpine:latest
+
+# Install runtime dependencies
+RUN apk --no-cache add ca-certificates tzdata
+
+# Install Beads CLI for write operations
+RUN apk --no-cache add go git && \
+    export GOPATH=/tmp/go && \
+    go install github.com/steveyegge/beads@latest && \
+    mv /tmp/go/bin/beads /usr/local/bin/bd && \
+    rm -rf /tmp/go && \
+    apk del go git
+
+# Create app directory
+WORKDIR /app
+
+# Copy binary from builder
+COPY --from=builder /build/beady /app/beady
+
+# Copy assets (if any)
+COPY --from=builder /build/assets /app/assets
+
+# Create data directory for Beads database
+RUN mkdir -p /data/.beads
+
+# Set environment variables
+ENV PORT=8080
+ENV BEADS_DIR=/data/.beads
+
+# Expose port
+EXPOSE 8080
+
+# Run beady
+CMD ["/app/beady", "--port", "8080"]