What app owns a menu bar item without installing XCode?

How to identify a strange item on my menubar? says that XCode > Open Developer Tool > Accessibility Inspector can be used to find out what app/program has created a menu bar item.

How can I find out without installing XCode?

In Script Editor, try the following command to see if it help gives any information to figure it out. BTW you can replace {name, title} with properties to get even more information:

tell application "System Events" to return {name, title} of menu bar items of menu bar 1 of process "ControlCenter"

If it does not belong to process "ControlCenter", or it was not determined what it was, then try the following:

• Open Automator and create a new workflow.
• Click the Record button (red dot).
• Click the target menu item on the menu bar.
• Stop the recording.
• In the Watch Me Do action created by the recording, drag and drop the event to the open area just below the Watch Me Do action.

It should create a Run AppleScript action in which it should show the name of the application process to which it belongs.

As an example I clicked the icon for Hammerspoon and in the Run AppleScript action there was a line e.g.:

set uiScript to "click menu bar item 1 of menu bar 2 of application process \"Hammerspoon\"