Many modern Mac applications can be run from your own personal Home folder without being prompted for a password.
Here's an example using Slack, copied into the Home folder of our mascot Oski.
Just ignore the big blue smiling face arrow pointing to the computer's shared /Applications folder (which would require a password to copy and for future updates); it goes right into Oski's own personal folder:
Many other applications will work the same way; if your Home folder doesn't already have a folder there named "Applications," simply create a new Untitled folder and change its name to "Applications" to use.
Unsure of how to locate your Home folder? Here is one way:
Applications below behave the same way, as will many others:
Some applications may require macOS "Transparency, Consent, and Control" permission to work, even from the Home folder. These permission are one-time only and do not prevent the apps from updating in the future without additional password prompts. Please contact the ITCS Service Desk for assistance with this one-time system approval step.