ci: use common vcpkg setup script for Windows CI - #4644

diff --git a/.github/workflows/java.yml b/.github/workflows/java.yml
index 1eea72513..2867e1a4d 100644
--- a/.github/workflows/java.yml
+++ b/.github/workflows/java.yml
@@ -127,13 +127,12 @@ jobs:
           cache: "maven"
           distribution: "temurin"
           java-version: 11
-      - name: Retrieve Go, VCPKG version from .env
+      - name: Retrieve Go version from .env
         run: |
           (. .env && echo "GO_VERSION=${GO}") >> $GITHUB_ENV
-          (. .env && echo "VCPKG_VERSION=${VCPKG}") >> $GITHUB_ENV
       - name: Install vcpkg
         run: |
-          ./ci/scripts/install_vcpkg.sh $VCPKG_ROOT $VCPKG_VERSION
+          ./ci/scripts/install_vcpkg.sh $VCPKG_ROOT
       - uses: actions/setup-go@b7ad1dad31e06c5925ef5d2fc7ad053ef454303e # v7.0.0
         with:
           go-version: "${{ env.GO_VERSION }}"
diff --git a/.github/workflows/packaging.yml b/.github/workflows/packaging.yml
index 77a876371..091d5532c 100644
--- a/.github/workflows/packaging.yml
+++ b/.github/workflows/packaging.yml
@@ -810,18 +810,10 @@ jobs:
       - name: Install Homebrew dependencies
         run: brew install autoconf bash pkg-config ninja
 
-      - name: Retrieve VCPKG version from .env
-        id: vcpkg_version
-        run: |
-          pushd adbc
-          vcpkg_version=$(cat ".env" | grep "VCPKG" | cut -d "=" -f2 | tr -d '"')
-          echo "VCPKG_VERSION=$vcpkg_version" | tee -a "$GITHUB_ENV"
-          popd
-
       - name: Install vcpkg
         run: |
           pushd adbc
-          ci/scripts/install_vcpkg.sh $VCPKG_ROOT $VCPKG_VERSION
+          ci/scripts/install_vcpkg.sh $VCPKG_ROOT
           popd
 
       - name: Get required Go version
@@ -953,7 +945,7 @@ jobs:
     env:
       PYTHON_VERSION: "${{ matrix.python_version }}"
       # Where to install vcpkg
-      VCPKG_ROOT: "${{ github.workspace }}\\vcpkg"
+      VCPKG_ROOT: "${{ github.workspace }}/vcpkg"
     steps:
       - uses: actions/download-artifact@3e5f45b2cfb9172054b4087a40e8e0b5a5461e7c # v8.0.1
         with:
@@ -990,21 +982,11 @@ jobs:
           choco install --no-progress -y cmake --installargs 'ADD_CMAKE_TO_PATH=System'
           choco install --no-progress -y visualcpp-build-tools
 
-      - name: Retrieve VCPKG version from .env
-        shell: pwsh
-        run: |
-          pushd adbc
-          Select-String -Path .env -Pattern 'VCPKG="(.+)"' | % {"VCPKG_VERSION=$($_.matches.groups[1])"} >> $env:GITHUB_ENV
-          popd
-
       - name: Install vcpkg
-        shell: pwsh
+        shell: bash
         run: |
-          echo $env:VCPKG_VERSION
-          git clone --shallow-since=2024-06-01 https://github.com/microsoft/vcpkg $env:VCPKG_ROOT
-          pushd $env:VCPKG_ROOT
-          .\bootstrap-vcpkg.bat -disableMetrics
-          popd
+          cd adbc
+          ci/scripts/install_vcpkg.sh "$VCPKG_ROOT"
 
       - uses: actions/setup-go@b7ad1dad31e06c5925ef5d2fc7ad053ef454303e # v7.0.0
         with: