I wanted to click on an event and get the details of that event, but it was hard to retrieve the details of the clicked event,
so I couldn't call the server to get the specific event details that I clicked on.
Here is my solution for this:
I just count the 'v-chip__content' (in month-day format) on the screen.
When you fetch monthly data from the server, if you retrieve it sorted by date and time,
you can know which event you are currently clicking on.
This is the code to find the index of the event on the screen and print it with console.log.
Just so you know, my current code is a temporary solution until Vuetify further develops the data format for the calendar.

findElementIndex(event) {
      const clickedElement = event.target.closest('.v-chip__content');
      if (!clickedElement) {
        console.log('Clicked element is not a .v-chip__content element');
        return;
      }
      const allElements = Array.from(document.querySelectorAll('.v-chip__content'));
      const elementIndex = allElements.indexOf(clickedElement);
      console.log('Clicked .v-chip__content Element Index:', elementIndex);
    }