[Bug]: New connections always save password. Save password checkbox does not work.

Nobody has claimed this yet.

### Description

Expected the MSSQL extension to forget passwords of new SQL login authentication type, if save password checkbox is unchecked.
But the extension saves the password anyway. The checkbox is just ignored.

### Steps to Reproduce

Create a new connection to database.

Choose SQL Login authentication type and left Save Password unchecked.

Future attempts to use this connection just work and don't ask for the password again.

### Affected Area

- [x] Connection dialog (SQL Server | Azure browse/Fabric browse)
- [ ] Query editor
- [ ] Query results panel
- [ ] Object Explorer
- [ ] GitHub Copilot integration
- [ ] Preview/Edit data
- [ ] Table Designer
- [ ] Schema Designer
- [ ] Schema Compare
- [ ] Local SQL Server Container provisioning
- [ ] SQL database in Fabric provisioning
- [ ] DACPAC/BACPAC export/import
- [ ] SQL Database projects
- [ ] Query Plan Visualizer
- [ ] Other (please describe below)

### If you selected "Other", please describe the affected area

_No response_

### Environment Information

VSCode 1.134.0
Extension version: 1.45.1
Windows version: 11
Connection type tested: SQL server.

### Confirmation

- [x] I have searched existing issues and couldn't find a match
- [ ] I want to work on this issue

Start in the SQL Login connection dialog flow and trace how the Save Password checkbox controls credential persistence for new connections. Reproduce the issue with the checkbox unchecked, then verify that the password is not reused while checked connections continue to work as expected.

Written by the indexing model from the issue text.