diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 5537de8..229153b 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -96,7 +96,7 @@ jobs:
       fail-fast: false
       matrix:
         python-version:
-          - "pypy-3.9"
+          - "pypy-3.10"
           - "3.7"
           - "3.8"
           - "3.9"
@@ -107,13 +107,13 @@ jobs:
         os: [ubuntu-20.04, macos-11]
         exclude:
           - os: macos-11
-            python-version: "pypy-3.9"
+            python-version: "pypy-3.10"
 
     steps:
       - name: checkout
-        uses: actions/checkout@v3
+        uses: actions/checkout@v4
       - name: Set up Python ${{ matrix.python-version }}
-        uses: actions/setup-python@v4
+        uses: actions/setup-python@v5
         with:
           python-version: ${{ matrix.python-version }}
       ###
@@ -135,7 +135,18 @@ jobs:
           restore-keys: |
             ${{ runner.os }}-pip-
 
+      - name: Install Build Dependencies (3.13.0-alpha - 3.13.0)
+        if: matrix.python-version == '3.13.0-alpha - 3.13.0'
+        run: |
+          pip install -U pip
+          pip install -U setuptools wheel twine
+          # cffi will probably have no public release until a Python 3.13 beta
+          # or even RC release, see https://github.com/python-cffi/cffi/issues/23
+          pip install -U "cffi @ https://github.com/python-cffi/cffi/archive/refs/heads/main.zip"
+          # twine has no release for 3.13, yet, see https://github.com/pypa/twine/issues/1030
+          pip install -U "git+https://github.com/pypa/twine.git#egg=twine"
       - name: Install Build Dependencies
+        if: matrix.python-version != '3.13.0-alpha - 3.13.0'
         run: |
           pip install -U pip
           pip install -U setuptools wheel twine cffi
@@ -199,7 +210,7 @@ jobs:
       - name: Upload ExtensionClass wheel (macOS x86_64)
         if: >
           startsWith(runner.os, 'Mac')
-        uses: actions/upload-artifact@v3
+        uses: actions/upload-artifact@v4
         with:
           name: ExtensionClass-${{ runner.os }}-${{ matrix.python-version }}.whl
           path: dist/*x86_64.whl
@@ -208,7 +219,7 @@ jobs:
           startsWith(runner.os, 'Mac')
           && !(startsWith(matrix.python-version, 'pypy')
                || matrix.python-version == '3.7')
-        uses: actions/upload-artifact@v3
+        uses: actions/upload-artifact@v4
         with:
           # The arm64 wheel is uploaded with a different name just so it can be
           # manually downloaded when desired. The wheel itself *cannot* be tested
@@ -218,7 +229,7 @@ jobs:
       - name: Upload ExtensionClass wheel (all other platforms)
         if: >
           !startsWith(runner.os, 'Mac')
-        uses: actions/upload-artifact@v3
+        uses: actions/upload-artifact@v4
         with:
           name: ExtensionClass-${{ runner.os }}-${{ matrix.python-version }}.whl
           path: dist/*whl
@@ -244,7 +255,7 @@ jobs:
       fail-fast: false
       matrix:
         python-version:
-          - "pypy-3.9"
+          - "pypy-3.10"
           - "3.7"
           - "3.8"
           - "3.9"
@@ -255,13 +266,13 @@ jobs:
         os: [ubuntu-20.04, macos-11]
         exclude:
           - os: macos-11
-            python-version: "pypy-3.9"
+            python-version: "pypy-3.10"
 
     steps:
       - name: checkout
-        uses: actions/checkout@v3
+        uses: actions/checkout@v4
       - name: Set up Python ${{ matrix.python-version }}
-        uses: actions/setup-python@v4
+        uses: actions/setup-python@v5
         with:
           python-version: ${{ matrix.python-version }}
       ###
@@ -284,7 +295,7 @@ jobs:
             ${{ runner.os }}-pip-
 
       - name: Download ExtensionClass wheel
-        uses: actions/download-artifact@v3
+        uses: actions/download-artifact@v4
         with:
           name: ExtensionClass-${{ runner.os }}-${{ matrix.python-version }}.whl
           path: dist/
@@ -292,6 +303,9 @@ jobs:
         if: ${{ startsWith(matrix.python-version, '3.13.0-alpha - 3.13.0') }}
         run: |
           pip install -U wheel setuptools
+          # cffi will probably have no public release until a beta or even RC
+          # version of Python 3.13, see https://github.com/python-cffi/cffi/issues/23
+          pip install -U 'cffi @ https://github.com/python-cffi/cffi/archive/refs/heads/main.zip ; platform_python_implementation == "CPython"'
           # coverage has a wheel on PyPI for a future python version which is
           # not ABI compatible with the current one, so build it from sdist:
           pip install -U --no-binary :all: coverage
@@ -351,9 +365,9 @@ jobs:
 
     steps:
       - name: checkout
-        uses: actions/checkout@v3
+        uses: actions/checkout@v4
       - name: Set up Python ${{ matrix.python-version }}
-        uses: actions/setup-python@v4
+        uses: actions/setup-python@v5
         with:
           python-version: ${{ matrix.python-version }}
       ###
@@ -376,7 +390,7 @@ jobs:
             ${{ runner.os }}-pip-
 
       - name: Download ExtensionClass wheel
-        uses: actions/download-artifact@v3
+        uses: actions/download-artifact@v4
         with:
           name: ExtensionClass-${{ runner.os }}-${{ matrix.python-version }}.whl
           path: dist/
@@ -404,9 +418,9 @@ jobs:
 
     steps:
       - name: checkout
-        uses: actions/checkout@v3
+        uses: actions/checkout@v4
       - name: Set up Python ${{ matrix.python-version }}
-        uses: actions/setup-python@v4
+        uses: actions/setup-python@v5
         with:
           python-version: ${{ matrix.python-version }}
       ###
@@ -456,7 +470,7 @@ jobs:
           bash .manylinux.sh
 
       - name: Upload ExtensionClass wheels
-        uses: actions/upload-artifact@v3
+        uses: actions/upload-artifact@v4
         with:
           path: wheelhouse/*whl
           name: manylinux_${{ matrix.image }}_wheels.zip
diff --git a/.meta.toml b/.meta.toml
index bfd5af9..4c46ea7 100644
--- a/.meta.toml
+++ b/.meta.toml
@@ -2,7 +2,7 @@
 # https://github.com/zopefoundation/meta/tree/master/config/c-code
 [meta]
 template = "c-code"
-commit-id = "cb0568c7"
+commit-id = "43bd5905"
 
 [python]
 with-appveyor = true
diff --git a/CHANGES.rst b/CHANGES.rst
index 32b0e75..1ce71f1 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -5,7 +5,7 @@
 5.2 (unreleased)
 ================
 
-- Add preliminary support for Python 3.13a2.
+- Add preliminary support for Python 3.13a3.
 
 
 5.1 (2023-10-05)
diff --git a/tox.ini b/tox.ini
index 0346d7a..b041329 100644
--- a/tox.ini
+++ b/tox.ini
@@ -51,6 +51,7 @@ deps =
     check-manifest
     check-python-versions >= 0.20.0
     wheel
+commands_pre =
 commands =
     check-manifest
     check-python-versions