chore(ci): Bump crates before publishing (#9308)

**Related issue:**

 - Closes https://github.com/swc-project/swc/issues/9304

.github/workflows/publish.yml

@@ -40,9 +40,44 @@ concurrency:
   cancel-in-progress: true
 
 jobs:
+  cargo-bump:
+    name: "Bump crates"
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+
+      - uses: actions-rs/toolchain@v1
+        with:
+          profile: minimal
+
+      - name: Install cargo-edit
+        uses: baptiste0928/cargo-install@v2.2.0
+        with:
+          crate: cargo-edit
+          version: "0.12.2"
+          locked: true
+
+      - name: Install cargo-mono
+        uses: baptiste0928/cargo-install@v2.2.0
+        with:
+          crate: cargo-mono
+          version: "0.3.7"
+
+      - run: cargo bump
+
+      - uses: webfactory/ssh-agent@v0.5.4
+        with:
+          ssh-private-key: ${{ secrets.SWC_BOT_SSH }}
+
+      - name: Push bump commit
+        run: |
+          git push git@github.com:swc-project/swc.git --no-verify
+
   publish-cargo:
     name: "Publish cargo crates"
     runs-on: ubuntu-latest
+    needs:
+      - cargo-bump
     steps:
       - uses: actions/checkout@v4
 
@@ -64,7 +99,6 @@ jobs:
         with:
           crate: cargo-mono
           version: "0.3.7"
-          locked: true
 
       - name: Update constant of swc_core
         run: npx ts-node .github/bot/src/cargo/update-constants.ts

Cargo.lock

@@ -2510,9 +2510,9 @@ checksum = "0ab1bc2a289d34bd04a330323ac98a1b4bc82c9d9fcb1e66b63caa84da26b575"
 
 [[package]]
 name = "openssl"
-version = "0.10.62"
+version = "0.10.66"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "8cde4d2d9200ad5909f8dac647e29482e07c3a35de8a13fce7c9c7747ad9f671"
+checksum = "9529f4786b70a3e8c61e11179af17ab6188ad8d0ded78c5529441ed39d4bd9c1"
 dependencies = [
  "bitflags 2.5.0",
  "cfg-if",
@@ -2542,9 +2542,9 @@ checksum = "ff011a302c396a5197692431fc1948019154afc178baf7d8e37367442a4601cf"
 
 [[package]]
 name = "openssl-sys"
-version = "0.9.98"
+version = "0.9.103"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "c1665caf8ab2dc9aef43d1c0023bd904633a6a05cb30b0ad59bec2ae986e57a7"
+checksum = "7f9e8deee91df40a943c71b917e5874b951d32a802526c85721ce3b776c929d6"
 dependencies = [
  "cc",
  "libc",