I have created a pair of Apps Sheet files which run fine for me. I have shared the Google Sheets with other users. But those users cannot execute the scripts. How do I give them permission?

I thought when the user first tried to execute the script, he or she could ask for permission, and I would get a notification and could respond. But the user is stuck at a screen asking to confirm the google account or to switch accounts, but there is no way out of the dialog.