diff --git a/www/docs/static/run b/www/docs/static/run
index 59363add6..b8beb6e85 100755
--- a/www/docs/static/run
+++ b/www/docs/static/run
@@ -23,14 +23,16 @@ test -z "$VERSION" && {
 TMP_DIR="$(mktemp -d)"
 # shellcheck disable=SC2064 # intentionally expands here
 trap "rm -rf \"$TMP_DIR\"" EXIT
-export TAR_FILE="$TMP_DIR/${FILE_BASENAME}_$(uname -s)_$(uname -m).tar.gz"
+OS="$(uname -s)"
+ARCH="$(uname -m)"
+test "$ARCH" = "aarch64" && ARCH="arm64"
+TAR_FILE="${FILE_BASENAME}_${OS}_${ARCH}.tar.gz"
 
 (
 	cd "$TMP_DIR"
 	echo "Downloading GoReleaser $VERSION..."
-	curl -sfLo "$TAR_FILE" \
-		"$RELEASES_URL/download/$VERSION/${FILE_BASENAME}_$(uname -s)_$(uname -m).tar.gz"
-	curl -sfLo "checksums.txt" "$RELEASES_URL/download/$VERSION/checksums.txt"
+	curl -sfLO "$RELEASES_URL/download/$VERSION/$TAR_FILE.tar.gz"
+	curl -sfLO "$RELEASES_URL/download/$VERSION/checksums.txt"
 	echo "Verifying checksums..."
 	sha256sum --ignore-missing --quiet --check checksums.txt
 	if command -v cosign >/dev/null 2>&1; then