diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index a6f31c106..8252a9fc6 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -40,14 +40,19 @@ jobs:
         with:
           persist-credentials: false
 
+      - name: Install build
+        run: python -Im pip install build -c test-requirements.txt
+
       - name: Get the dist version
         id: dist-version
-        run: >-
-          echo "version=$(
-          grep ^__version__ src/trio/_version.py
-          | sed 's#__version__ = "\([^"]\+\)"#\1#'
-          )"
-          >> "${GITHUB_OUTPUT}"
+        shell: python
+        run: |
+          import os
+          import build.util
+          version = build.util.project_wheel_metadata(".")["version"]
+
+          with open(os.environ["GITHUB_OUTPUT"], mode="a", encoding="utf8") as f:
+              f.write(f"version={version}")
 
       - name: Set the expected dist artifact names
         id: artifact-name
@@ -58,9 +63,6 @@ jobs:
           DIST_NAME: ${{ env.dist-name }}
           VERSION: ${{ steps.dist-version.outputs.version }}
 
-      - name: Install build
-        run: python -Im pip install build
-
       - name: Build dists
         run: python -Im build
       - name: Verify that the artifacts with expected names got created
diff --git a/ci.sh b/ci.sh
index 83ec65748..5138c2da4 100755
--- a/ci.sh
+++ b/ci.sh
@@ -41,7 +41,7 @@ python -m pip install -U pip uv -c test-requirements.txt
 python -m pip --version
 python -m uv --version
 
-python -m uv pip install build
+python -m uv pip install build -c test-requirements.txt
 
 python -m build
 wheel_package=$(ls dist/*.whl)
diff --git a/test-requirements.in b/test-requirements.in
index 809e171e3..b578ca825 100644
--- a/test-requirements.in
+++ b/test-requirements.in
@@ -10,6 +10,7 @@ jedi; implementation_name == "cpython"                  # for jedi code completi
 cryptography>=41.0.0  # cryptography<41 segfaults on pypy3.10
 
 # Tools
+build
 black; implementation_name == "cpython"
 mypy  # Would use mypy[faster-cache], but orjson has build issues on pypy
 orjson; implementation_name == "cpython"
diff --git a/test-requirements.txt b/test-requirements.txt
index a5c17a256..09ce81fe1 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -16,6 +16,8 @@ babel==2.16.0
     # via sphinx
 black==24.10.0 ; implementation_name == 'cpython'
     # via -r test-requirements.in
+build==1.2.2.post1
+    # via -r test-requirements.in
 certifi==2024.8.30
     # via requests
 cffi==1.17.1 ; platform_python_implementation != 'PyPy' or os_name == 'nt'
@@ -28,8 +30,9 @@ click==8.1.7 ; implementation_name == 'cpython'
     # via black
 codespell==2.3.0
     # via -r test-requirements.in
-colorama==0.4.6 ; (implementation_name != 'cpython' and sys_platform == 'win32') or (platform_system != 'Windows' and sys_platform == 'win32') or (implementation_name == 'cpython' and platform_system == 'Windows')
+colorama==0.4.6 ; (implementation_name != 'cpython' and sys_platform == 'win32') or (platform_system != 'Windows' and sys_platform == 'win32') or (implementation_name == 'cpython' and platform_system == 'Windows') or os_name == 'nt'
     # via
+    #   build
     #   click
     #   pylint
     #   pytest
@@ -57,8 +60,10 @@ idna==3.10
     #   trustme
 imagesize==1.4.1
     # via sphinx
-importlib-metadata==8.5.0 ; python_full_version < '3.10'
-    # via sphinx
+importlib-metadata==8.5.0 ; python_full_version < '3.10.2'
+    # via
+    #   build
+    #   sphinx
 iniconfig==2.0.0
     # via pytest
 isort==5.13.2
@@ -87,6 +92,7 @@ outcome==1.3.0.post0
 packaging==24.2
     # via
     #   black
+    #   build
     #   pytest
     #   sphinx
 parso==0.8.4 ; implementation_name == 'cpython'
@@ -107,6 +113,8 @@ pylint==3.3.1
     # via -r test-requirements.in
 pyopenssl==24.2.1
     # via -r test-requirements.in
+pyproject-hooks==1.2.0
+    # via build
 pyright==1.1.389
     # via -r test-requirements.in
 pytest==8.3.3
@@ -138,6 +146,7 @@ sphinxcontrib-serializinghtml==2.0.0
 tomli==2.2.1 ; python_full_version < '3.11'
     # via
     #   black
+    #   build
     #   mypy
     #   pylint
     #   pytest
@@ -168,5 +177,5 @@ urllib3==2.2.3
     # via requests
 uv==0.5.5
     # via -r test-requirements.in
-zipp==3.21.0 ; python_full_version < '3.10'
+zipp==3.21.0 ; python_full_version < '3.10.2'
     # via importlib-metadata