chore: Use cargo chef to build

And get caching for docker builds

Which should speed things up

Dockerfile

@@ -1,15 +1,24 @@
-FROM rust:1.82-bookworm as builder
-WORKDIR /usr/src/app
+FROM lukemathwalker/cargo-chef:latest-rust-1.82 AS chef
+WORKDIR /app
 
+FROM chef AS planner
+COPY . .
+RUN cargo chef prepare --recipe-path recipe.json
+
+FROM chef AS builder
+COPY --from=planner /app/recipe.json recipe.json
+# Build dependencies - this is the caching Docker layer!
+RUN cargo chef cook --release --recipe-path recipe.json
+# Build application
 COPY . .
 COPY --from=d3fk/tailwindcss:stable /tailwindcss /usr/local/bin/tailwindcss
-ENV SQLX_OFFLINE=true
-RUN cargo install --path .
+RUN cargo build --release
 
+# We do not need the Rust toolchain to run the binary!
 FROM debian:bookworm-slim
-RUN apt-get update && apt-get install -y procps ca-certificates && rm -rf /var/lib/apt/lists/*
+WORKDIR /app
 
-COPY --from=builder /usr/local/cargo/bin/et-migrate /usr/local/bin/et-migrate
-COPY --from=builder /usr/local/cargo/bin/et /usr/local/bin/et
+COPY --from=builder /app/target/release/et-migrate /usr/local/bin/et-migrate
+COPY --from=builder /app/target/release/et /usr/local/bin/et
 
 ENTRYPOINT ["/usr/local/bin/et"]