ci: Move check_manifests step to ci-windows-cross.py

diff --git a/.github/ci-windows-cross.py b/.github/ci-windows-cross.py
index 5382b5b6..4327d10c 100755
--- a/.github/ci-windows-cross.py
+++ b/.github/ci-windows-cross.py
@@ -24,16 +24,47 @@ def print_version():
     run([str(bitcoind), "-version"])
 
 
+def check_manifests():
+    release_dir = Path.cwd() / "bin"
+    manifest_path = release_dir / "bitcoind.manifest"
+
+    cmd_bitcoind_manifest = [
+        "mt.exe",
+        "-nologo",
+        f"-inputresource:{release_dir / 'bitcoind.exe'}",
+        f"-out:{manifest_path}",
+    ]
+    run(cmd_bitcoind_manifest)
+    print(manifest_path.read_text())
+
+    skipped = {  # Skip as they currently do not have manifests
+        "fuzz.exe",
+        "bench_bitcoin.exe",
+        "test_kernel.exe",
+    }
+    for entry in release_dir.iterdir():
+        if entry.suffix.lower() != ".exe":
+            continue
+        if entry.name in skipped:
+            print(f"Skipping {entry.name} (no manifest present)")
+            continue
+        print(f"Checking {entry.name}")
+        run(["mt.exe", "-nologo", f"-inputresource:{entry}", "-validate_manifest"])
+
+
 def main():
     parser = argparse.ArgumentParser(description="Utility to run Windows CI steps.")
     steps = [
         "print_version",
+        "check_manifests",
     ]
     parser.add_argument("step", choices=steps, help="CI step to perform.")
     args = parser.parse_args()
 
     if args.step == "print_version":
         print_version()
+    elif args.step == "check_manifests":
+        check_manifests()
 
 
 if __name__ == "__main__":
diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index c6ac3472..9efdb3c3 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -412,23 +412,7 @@ jobs:
       - *SET_UP_VS
 
       - name: Check executable manifests
-        shell: pwsh -Command "$PSVersionTable; $PSNativeCommandUseErrorActionPreference = $true; $ErrorActionPreference = 'Stop'; & '{0}'"
-        run: |
-          mt.exe -nologo -inputresource:bin\bitcoind.exe -out:bitcoind.manifest
-          Get-Content bitcoind.manifest
-
-          Get-ChildItem -Filter "bin\*.exe" | ForEach-Object {
-            $exeName = $_.Name
-
-            # Skip as they currently do not have manifests
-            if ($exeName -eq "fuzz.exe" -or $exeName -eq "bench_bitcoin.exe" -or $exeName -eq "test_kernel.exe") {
-              Write-Host "Skipping $exeName (no manifest present)"
-              return
-            }
-
-            Write-Host "Checking $exeName"
-            & mt.exe -nologo -inputresource:$_.FullName -validate_manifest
-          }
+        run: py -3 .github/ci-windows-cross.py check_manifests
 
       - name: Run unit tests
         # Can't use ctest here like other jobs as we don't have a CMake build tree.