'Use parent process directory' not being respected for new Tabs

### Windows Terminal version

1.16.10262.0

### Windows build number

10.0.2621.1105

### Other Software

_No response_

### Steps to reproduce

I have my WT setup so my default profile is lauch as admin and with the 'Use parent process directory' checked for starting directory. I then have all my other profiles set to 'Use parent process directory' for starting directory as well.

1. Use the context menu to launch Windows Terminal from a folder.
2. WT will launch default profile in the directory of the folder it was launch
3. Opening a new Tab launches the new profile to the 'C:\Windows\System32' folder

### Expected Behavior

Each new tab opened with different profiles should open in the same directory that WT was launched from

### Actual Behavior

Each new tab is launch to the 'C:\Windows\System32' folder.

Reproduce the issue using the listed steps: launch Windows Terminal from a folder, then open a new tab with another profile. Trace the profile starting-directory handling for newly opened tabs. Done means each profile opened in a new tab preserves the directory from which Windows Terminal was launched rather than using C:\Windows\System32.

Written by the indexing model from the issue text.