OP: Fix your screen. Or at least buy a $5 screen protector on eBay and attach it to your shrapnel. Failing that, a bit of packing tape keeps the pieces in. But a $5 tempered glass screen protector solves the problem, at least for a while. Then, seriously, replace the screen.
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...with apologies to OP for slightly changing the direction of this short thread, do you have any insight re: whether keeping a phone past the point where it's being updated is safe? I'd like to keep my iPhone going for as many years as possible, but Apple will soon drop support. (I don't know whether this is more/less risky on an Android phone.) My hunch is that it is safe to use past the end of support - I've never heard of anyone getting a mobile virus - but I've never found a real answer, and I use my phone for mobile banking, etc. I would love to know what you think!
6S or so?
How's your financial state? Net worth positive, net worth "hair on fire," ?
In general, my stance is that you shouldn't run a device much past end of software support. Apple, being my devices of choice lately (because (1) Android is horrid, and (2) Apple supports them far longer than any Android OEM), will typically offer major security issue patches for 1-2 years past end of mainstream software support.
If your device falls off with iOS 15 (as mine is likely to, I've got a 6S), I would be *generally* comfortable running it 6 months past end of software support without any real concerns, would run it to a year or so with less permissions on it (this starts to get into "Do I trust it to run email and Authenticator territory?"), and beyond a year would only run it with absolutely minimal accounts. It's a pessimal view on hardware, but that's where I sit for iOS devices.
Android? Given their general "train wreck of security" and "don't care, buy a new phone..." view on things, I'm not sure I'd be comfortable with an Android device more than a few months past end of mainline software support. You might be able to bootloader unlock it, flash your own ROM, etc, but... damn, I hate having to do that stuff on a device. Yeah, I can. No, I don't like to.
My personal plan is to replace my 6S (assuming it doesn't get iOS 15 support, so it would be end of software support late 2021) sometime next year, with a 2020 SE, and ride that for another 6-8 years. It's not far enough from optimal to bother me.