Get rid of staging commit

The staging commit is no longer necessary now that we don't use goma.

Test: ./update.sh 8484286
Change-Id: I79657a606fc9a65727206c0f5459de94a5b3afa5
diff --git a/update.sh b/update.sh
index 605c54e..74eef70 100755
--- a/update.sh
+++ b/update.sh
@@ -49,13 +49,8 @@
 
 version=$(staging/linux-x86/bin/java -version 2>&1 | grep "OpenJDK Runtime Environment" | sed -e 's/.*(\(.*\))/\1/')
 
-# Commit to staging
-git add staging
-git commit -m "Add JDK ${version} to staging
-
-Test: none"
-
 git rm -rf linux-x86 darwin-x86 darwin-arm64 manifest.xml
-git mv staging/* .
+mv staging/* .
 rmdir staging
-git commit -m "Switch to JDK $version" --edit
+git add linux-x86 darwin-x86 darwin-arm64 manifest.xml
+git commit -m "Update to JDK $version" --edit