[auto-pkg-updater] Update chromeos-base/session_manager-client

Upgraded chromeos-base/session_manager-client to v0.0.1-r2777

BUG=b/339371785
TEST=presubmit
RELEASE_NOTE=Upgraded chromeos-base/session_manager-client to v0.0.1-r2777.

Change-Id: Ibe1ad6d2a350a0852d0ee7400e88d7987ae47845
Reviewed-on: https://cos-review.googlesource.com/c/third_party/overlays/chromiumos-overlay/+/71251
Tested-by: Cusky Presubmit Bot <presubmit@cos-infra-prod.iam.gserviceaccount.com>
Reviewed-by: He Gao <hegao@google.com>
Reviewed-by: Robert Kolchmeyer <rkolchmeyer@google.com>
2 files changed