Applescript display alert/dialog to appear over Fullscreen apps?

Is it possible to cause Applescript dialog/alert boxes to appear over Fullscreen apps? I have a simple Applescript that requires some input to function (so triggers a dialog via display dialog) and also produces an alert when it's done. However, when running with Fullscreen apps this means switching to a desktop space to see the dialog, and the same is true of the alert (which can be easily missed if I switch back to another app first). But it is literally just a dialog and an alert, so I'd prefer for it to just appear over everything else if possible. I know that I "proper" app written in Swift etc. can do this, but that seems like overkill for what I'm doing, and I'm curious if there is any way to get this behaviour (or something similar, if there are other ways to ask for text input and show a message) for an Applescript?