How do I delete this on going message googlesoftwareupdate.bundle"

Here...

https://support.google.com/chrome/thread/11603890?hl=en

~ tilde indicates hidden Home Library.

Apple hid the Users' Library folders...

Method 1:

1. From the Finder, select the Go menu at top of the screen, and choose Go to Folder.
2. In the window that opens, enter ~/Library, and click Go.

Did you get it fixed?

Good news, thanks. :)