On Show Connect apply/save settings to prevent Info dialog being stale

[BarryCarlyon]

Description

On [Show Connect Info] Apply/save the form

I misfiled: https://github.com/obsproject/obs-studio/issues/10947 so this fixes #1236

Motivation and Context

A user could change one of the values (notably the generate new random password) hit show connect info and show the previous auto generated password and not the new one if the user didn't hit apply before show.

How Has This Been Tested?

Tested OS(s):

Types of changes

Added one line to save when show connect is hit

Checklist:

• [x] I have read the Contributing Guidelines.
• [x] All commit messages are properly formatted and commits squashed where appropriate.
• [x] My code is not on master or a release/* branch.
• [ ] The code has been tested.
• [x] I have included updates to all appropriate documentation.

Not tested as outside of my skillset persae