You must talk to your manager directly about the mistake,

no matter whether you or the company would pay it in the end.

The point is not about the money, since it is a small amount. It is about the mistake. Tell your manage that you realize the mistake, you are very sorry about it, and you promise that it won't happen again. You can propose to pay it if you want to. I think any professional manager won't let you pay it. It is the company's debt, not yours. You work for the company, and by law, you are not bound to any debt of the company, no matter whether it results from your mistake.

It all depends on your attitude. If I were your manager and your performance record was good, I would not be bothered by the mistake. Actually, I would be very happy. Everybody make mistakes. The cost of this mistake is minimal. If you learned the lesson, it might prevent the bigger loss from the similar mistakes. In the long term, it is beneficial. Of course, the presumption is that you are a good employee and the manager believe that you learn from mistakes.