ci: add style check workflow

Author: beinan

.github/workflows/style.yml

@@ -0,0 +1,51 @@
+name: Style Check
+on:
+  push:
+    branches:
+      - main
+  pull_request:
+    paths:
+      - rust/**
+      - .github/workflows/style.yml
+      - rust/lance-context/Cargo.toml
+      - rust/lance-context/Cargo.lock
+
+concurrency:
+  group: ${{ github.workflow }}-${{ github.event.pull_request.number || github.ref }}
+  cancel-in-progress: true
+
+env:
+  CARGO_TERM_COLOR: always
+  RUSTFLAGS: "-C debuginfo=1"
+
+jobs:
+  format:
+    runs-on: ubuntu-24.04
+    timeout-minutes: 15
+    steps:
+      - uses: actions/checkout@v4
+      - uses: actions-rust-lang/setup-rust-toolchain@v1
+        with:
+          components: rustfmt
+      - name: Check formatting
+        run: cargo fmt --manifest-path rust/lance-context/Cargo.toml -- --check
+
+  clippy:
+    runs-on: ubuntu-24.04
+    timeout-minutes: 15
+    steps:
+      - uses: actions/checkout@v4
+      - uses: Swatinem/rust-cache@v2
+        with:
+          workspaces: rust/lance-context
+      - name: Clippy
+        run: cargo clippy --manifest-path rust/lance-context/Cargo.toml --all-targets -- -D warnings
+
+  typos:
+    name: Spell Check
+    runs-on: ubuntu-24.04
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+      - name: Check spelling
+        uses: crate-ci/typos@v1.26.0