[FEATURE] Google Calendar or Email MCP should identify which account it is connected to in the Connectors UX

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

I often need to work with multiple Google accounts for my workflows and agents. The "Gmail Connector" in customize menu doesn't indicate which google account it is currently conencted to. Same with "Google Calendar" connector UX. I have to use API call to find out which account it is conencted to.

Proposed Solution

This is such a simple UX fix to have Gmail - signed in as user "xyz" instead of wasting an API call on figuring out which gmail it is connected to.

The connector should identify the user name/user account.

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

CLI commands and flags

Use Case Example

My gmail needs to be connected to my personal gmail account
My calendar connector should be connected to my fractional work gmail account to create events for the personal events so I can block time on my work calendar.
However, it is not immediately obvious from connector UX which account each MCP is connected to (I have multiple gmail accounts - school, ...)

Additional Context

_No response_