Constant Password Prompt After Synaptic Install

Yes, I checked and...
Here:

There really is not a way to disable password requests globally.

It may be that a recent change has caused a situation on your system, perhaps using Flatpak or Snap packages that is causing Application Launches to verify.

Most of the time, you should not need to enter your password to launch your daily use software. Only when you seek to change how software is run would you need a password, or install to root, would you need to enter your password... Because these involve changing essential system files in root.

While you might be annoyed having to authorize activity at times, you would be far, far more annoyed if unauthorized changes destroyed your build and you lost data or needed to reinstall.
Or if an unauthorized party seized control over critical system files.

That is why these security measures are in place.

Instead, I recommend we examine if a recent change increased your need to authorize packages, such as simple App Launching. Then, correct that change.