Indicating that a select box has new values

The desktop version of my site has a select box (Angular Material) with a list of client names. That list gets updated (new clients added or clients have new info) and I would like to draw the user's attention to said select box and indicate that there are new values.

On mobile we have an icon button with a drop-down list. The icon has a little orange dot when there are new items in the list.

But I am baffled at how best to handle the select box in the desktop version. I thought about adding an icon perhaps or add an orange triangle on the top right part of the select.

Could you please advise me on how best to handle this in a UX point of view?