Hi, Gavin. Thank you for coming to the forum. My name is Femi. It is worth noting that this is a user community, and we are all users here, much like yourself. While we strive to assist and share insights, we are not Microsoft directly.
I am sorry that you can't find the Eyedropper tool on Word. As a user, I understand how frustrating that can be. I wish there was a better way to tell you this, But there are no Eyedropper tool in word.
In the article, (https://answers.microsoft.com/en-us/msoffice/forum/all/no-eyedropper-in-word/55825557-a831-432d-ae1c-8d2f8be0bc85 ), Jay Freedman MVP explains in detail:
"There never was an eyedropper tool in Word. There is one in PowerPoint, which you can use to find the RGB values of something in that program, and then transfer that to the More Colors dialog in Word.
Or you can look for a third-party app, such as the one at https://eyedropper.en.softonic.com/ .
(Note: This is a non-Microsoft site. The page seems to provide accurate and reliable information. Beware of advertisements on the site that may advertise products frequently classified as PUPs (Potentially Unwanted products). Please do thorough research on any product advertised on the site before downloading and installing it.)
Go to File > Feedback > Send a Suggestion and tell the developers you want an eyedropper added to Word. Lots of people have asked for it in the past, and the more requests there are, the better the odds."
You can leave feedback so the developers can get to see it.
I hope this helps, let me know if this contradicts what you need. I remain helpful in answering any more of your questions.
Best Regards,
Femi.