Remove redundant install Rust steps

Those were not installing Rust but configuring it via rustup, and
those configurations were done on `stable` toolchain which is not what we use (see rust-toolchain.toml)

co-authored-by: Piotr <piotr@zed.dev>

.github/actions/check_style/action.yml

@@ -4,12 +4,6 @@ description: "Checks code formatting use cargo fmt"
 runs:
     using: "composite"
     steps:
-        - name: Install Rust
-          shell: bash -euxo pipefail {0}
-          run: |
-              rustup set profile minimal
-              rustup update stable
-
         - name: cargo fmt
           shell: bash -euxo pipefail {0}
           run: cargo fmt --all -- --check

.github/actions/run_tests/action.yml

@@ -2,29 +2,26 @@ name: "Run tests"
 description: "Runs the tests"
 
 runs:
-  using: "composite"
-  steps:
-    - name: Install Rust
-      shell: bash -euxo pipefail {0}
-      run: |
-        rustup set profile minimal
-        rustup update stable
-        rustup target add wasm32-wasi
-        cargo install cargo-nextest
+    using: "composite"
+    steps:
+        - name: Install Rust
+          shell: bash -euxo pipefail {0}
+          run: |
+              cargo install cargo-nextest
 
-    - name: Install Node
-      uses: actions/setup-node@v3
-      with:
-        node-version: "18"
+        - name: Install Node
+          uses: actions/setup-node@v3
+          with:
+              node-version: "18"
 
-    - name: Limit target directory size
-      shell: bash -euxo pipefail {0}
-      run: script/clear-target-dir-if-larger-than 100
+        - name: Limit target directory size
+          shell: bash -euxo pipefail {0}
+          run: script/clear-target-dir-if-larger-than 100
 
-    - name: Run check
-      shell: bash -euxo pipefail {0}
-      run: cargo check --tests --workspace
+        - name: Run check
+          shell: bash -euxo pipefail {0}
+          run: cargo check --tests --workspace
 
-    - name: Run tests
-      shell: bash -euxo pipefail {0}
-      run: cargo nextest run --workspace --no-fail-fast
+        - name: Run tests
+          shell: bash -euxo pipefail {0}
+          run: cargo nextest run --workspace --no-fail-fast