diff --git a/action.yml b/action.yml
index 21268f9cf..72c6900d2 100644
--- a/action.yml
+++ b/action.yml
@@ -73,47 +73,30 @@ runs:
             shutil.rmtree(venv_path)
         builder = EnvBuilder()
         builder.create(venv_path)
-        exposed_binaries = {"cibuildwheel"}
-        if "uv" in EXTRAS:
-            exposed_binaries.add("uv")
-        clean_bin_path = builder.bin_path.parent / f"{builder.bin_path.name}.clean"
-        clean_bin_path.mkdir()
-        for path in list(builder.bin_path.iterdir()):
-            if path.stem in exposed_binaries:
-                try:
-                    os.symlink(path, clean_bin_path / path.name)
-                except OSError:
-                    import shutil
-
-                    shutil.copy2(path, clean_bin_path / path.name)
-        full_path = f"{clean_bin_path}{os.pathsep}{os.environ['PATH']}"
+        cibw_path = [path for path in builder.bin_path.glob("cibuildwheel*") if path.stem == "cibuildwheel"][0]
         with open(os.environ["GITHUB_OUTPUT"], "at") as f:
-            f.write(f"updated-path={full_path}\n")
+            f.write(f"cibw-path={cibw_path}\n")
         print("::endgroup::")
         EOF
       shell: bash
 
     # Redirecting stderr to stdout to fix interleaving issue in Actions.
     - run: >
-        cibuildwheel
+        "${{ steps.cibw.outputs.cibw-path }}"
         "${{ inputs.package-dir }}"
         ${{ inputs.output-dir != ''  && format('--output-dir "{0}"', inputs.output-dir) || ''}}
         ${{ inputs.config-file != '' && format('--config-file "{0}"', inputs.config-file) || ''}}
         ${{ inputs.only != ''        && format('--only "{0}"', inputs.only) || ''}}
         2>&1
-      env:
-        PATH: "${{ steps.cibw.outputs.updated-path }}"
       shell: bash
       if: runner.os != 'Windows'
 
     # Windows needs powershell to interact nicely with Meson
     - run: >
-        cibuildwheel
+        & "${{ steps.cibw.outputs.cibw-path }}"
         "${{ inputs.package-dir }}"
         ${{ inputs.output-dir != ''  && format('--output-dir "{0}"', inputs.output-dir) || ''}}
         ${{ inputs.config-file != '' && format('--config-file "{0}"', inputs.config-file) || ''}}
         ${{ inputs.only != ''        && format('--only "{0}"', inputs.only) || ''}}
-      env:
-        PATH: "${{ steps.cibw.outputs.updated-path }}"
       shell: pwsh
       if: runner.os == 'Windows'