If you have a backup of your phone or aren't worried about losing data, it would probably be a good idea to do a complete wipe back to factory settings to determine whether you're facing a software or a hardware issue. The full restore should eliminate any possibility of it being a software problem, but if the touch screen works after the restore then you've obviously run into some kind of software issue.
If you don't have a backup, it may be possible to work around the non-responsive touch screen by plugging in a USB-C mouse to the phone and using that to substitute for the touchscreen.
Otherwise your most likely fix is going to be to replace the screen. The digitizer that's responsible for handling touch inputs is fused to the AMOLED display so they have to be replaced as one assembly. On your phone there are actually two ways to replace the screen; with or without the frame. When you buy a screen with the frame, it comes already mounted on the midframe so the process of replacing the screen consists of basically gutting the phone - removing all of the components - and moving them to the new screen+frame assembly. That's the generally recognized best practice for a new screen; you don't have to worry about sealing the screen against liquid ingress nor have any concerns about gluing it down and then holding it in place while it dries. Plus you get a new midframe so the phone looks brand new. Here's a guide showing how to do that repair.
Manuals / OnePlus Nord CE 2 / Full Screen - Nobody Calls Me Chicken
The other way to do it is to separate the display from the midframe, clean off all the old glue from the midframe and glue the new screen down. You'll have to secure it with rubber bands or weight for a period of time until the glue dries. I wasn't able to locate any iFixit-style guides for that repair on your phone, but I did find a YouTube video that looks like the guy knows what he's doing.
One Plus Nord CE2 Display Replacement And Price - One Plus Nord CE2 - YouTube
Although my preference is normally to go with the screen+frame procedure, in this case the screen only replacement is quite straight-forward and you don't have to disassemble hardly anything to get to the display connector so that's what I would recommend for you.
As far as a replacement part, you'll want to search using the model number of your phone to ensure you get the right replacement. In my cursory search for screens, I saw that there are a couple of options available to you; you can get them with and without the frame, depending on which method you want to use, and you can buy cheaper TFT LCD versions of the screen vs. the original AMOLED displays. The LCD screens will be substantially cheaper, but will have a lower quality picture and because it also has a backlight it will use more battery power, meaning you won't be able to go quite as long between charging.
Because I don't have your model number I haven't posted any examples of replacement screens, but they are easy to find on such sites as Amazon, eBay or AliExpress, among others.
Good luck and let us know how it all turns out for you!
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