Don't feel so bad. I'm somewhat of a DIY guy and don't usually run into problems overhauling newkclear reactors and fitting motorcycle luggage but twice I've dropped hardware into the black hole under the NC700X gas tank when installing luggage racks.
I have a small magnet on a telescoping stick for this type of mistake we all do sometime or the other and I was able to fish the things out and stay sober over it.
The tool is something else to buy but the next time it happens you will have the tool. Why would anyone have a magnet on a stick unless they dropped something in a black hole.
Gotta review how to collect tools - first 40 seconds here: