[web] Rename GET_/SET_CURRENT_USER_ID in shared worker

Summary:
This is the web equivalent of D11666.

Depends on D11666

Test Plan:

1. Flow
2. Open the web app in my local environment and log in and log out. Make sure database is deleted

Reviewers: tomek, kamil

Reviewed By: tomek

Differential Revision: https://phab.comm.dev/D11668