Fixed broken screw before anyone?

Mask area with tape, then krazy glue or epoxy some graspable sacrificial item to exposed screw section. Clamp if possible. Let fully cure. Hope the new handle allows a few turns.

Paperclips or wire should do the trick.

Thanks for this. I've done some looking around and will try out something called "screw grab" (https://www.amazon.com/Solder-Quick-Dry-Extractor-Anti-Seize-Improvement/dp/B08FWKNG52).

The plan is to place some of this spot-on the screw, let solidify, and hopefully get the screw out.

This "incident" is not obstructing or destructing my use of the item in any way. It's just annoying as hell!

I don't see how paperclips or wire would help.

The space is completely filled, so wouldn't those devices just bang against the solid obstruction?

The real questions are:

How would Swiss and Japanese engineers resolve this problem?

-and-

Would Swiss/Japanese engineers let a problem like this happen in the first place?

I meant use them as the handle with quickset epoxy.

Form a little ball at the end of chosen jury rigged handle, tape around hole, attach, wait till it dries, hope it holds to unthread enough to use needle nose pliers for the remaining threads.

Now we're on the same page...

The big worry is that the screw fits in kind of tight, so I'm not sure if the epoxy bond will be strong enough to overcome that resistance.

Are those epoxy items very strong in the grip they offer?

Depends on price lol. Dev-con like this can totally adhere a pelican case to a concrete floor, and it ain't going nowhere, can use power tools with impunity on it. Usually have to use a sledge hammer to break it free 😂. But it's gonna cost ya...🤏🏻🤐

I would use a drip type of bead/epoxy line.

Take the thin makeshift handle, and start your bead line a few mm up the side, let the weight of the epoxy pullt it down to the connection between makeshift handle and screws head.

Slowly form, for lack of a better term, a stalagmite deposit at the base.

Its what I'd try to do.

Damn I didn't realize I would be dealing with military-grade stuff...

If I successfully and sufficiently surround the problem area with tape, I'll probably have 1-2 sq. mm of contact area between the broken screw and the epoxy. Is that going to be enough to get me anywhere??

Well they would drill out the old screw and chase the threads with a tap. They'd know the sizes to use. I suspect heat and solvents won't really be an option here.

Or just file it flush and call it a day.

Don't have the money to buy or the space to keep a lathe. Then there's the time on top to learn to use it! Would be fun though, I'm sure.