[docs] Update readme with instructions for auto deployment

Bug: 396679832
Change-Id: Ic471c93b6aa9da64e3e43228bf5077c3e655c294
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/tools/depot_tools/+/6276740
Auto-Submit: Josip Sokcevic <sokcevic@chromium.org>
Reviewed-by: Gavin Mak <gavinmak@google.com>
Commit-Queue: Gavin Mak <gavinmak@google.com>

man/README.txt

@@ -13,5 +13,5 @@ directory to generate html and man pages.
 
 == Deploy
 
-Run `./push_to_gs.sh` from this directory. If you not have access, ask someone
-from chrome infra to deploy it for you.
+This is fully automated. After you submit your CL, the tutorial will be deployed
+within 24 hours. See [https://ci.chromium.org/ui/p/infra-internal/builders/prod/depot_tools%20zip%20uploader].