[services] Backup - Blob Put Client - Update put API

Summary:
Depends on D5003

We want to use rust's Results so we can catch errors in c++.

Test Plan: backup builds

Reviewers: jon, tomek, varun, max

Reviewed By: tomek

Subscribers: ashoat, tomek, atul, abosh

Differential Revision: https://phab.comm.dev/D5004