Hello Robert,
When you say Click Link/Press Button on Web Page don't work, double check the error.
If you see an error that says the element is not found, it would be an issue with the CSS Selector of the button.
In such cases, you'll need to modify the CSS Selector of the button for the interaction to be successful.
Press F12 while on a browser to see the structure of the webpage and create your own CSS selectors.
Know more about CSS Selectors here.
If there's no error, it means that the click was successfully sent. You may see the button highlighted in yellow, indicating that the element is in focus but it hasn't been clicked. For such cases, you can send an "Enter" keystroke to complete the click event.
You can also use JavaScript to press a button,
Populate text field and click on link using JavaScript | Microsoft Docs
On a sidenote, if a user is working simultaneously on the same system, the user's interactions would conflict with any such interactive actions (mouse clicks/keystrokes etc.) that your flow may perform.
Thanks,
Shrav