Hi @Richard_Lakely,
The last message posted gives a little more insight as to the issue(s).
Did all of these devices happen to have a really low battery or run completely out of power to the point they shutdown?
The symptoms you are describing as unresponsive (plugged into power, fully charged battery swapped, etc.) sound like something going on with the: 1. embedded controller 2. Hardware fault (these are just my opinions) .
For the time being just ignore everything about the CMOS battery being bad. Most of those issues are for the 11th gen boards (the very first model of Framework Laptop).
Presumably this has been checked to use a known good 60w-100w charger and known working USBC cable.
Try plugging in one of the three laptops that will not start with the USBC cable on the BACK left or BACK right ports as you are facing it like you would use it.
Make sure you are NOT going through a dock; just straight power with a charger. (As a sanity check here plug in another known good Framework Laptop to make sure it takes a charge from the same cable/charger setup)
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Plug it in and wait 60 seconds. Don’t open the lid, just let it rest.
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Open it and press the power button once (should still be unresponsive but in case it springs to life). Wait 15 seconds.
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Gently press and hold the power button for a solid 20-30 seconds. Then release and wait for 10 seconds.
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Press the power button once.
This should ideally reboot the embedded controller on the motherboard.
TL;dr
I am typing this at work on my phone so hopefully it comes out understandably. As a side note, you are likely very capable as an IT person for your company. My advice is just trying to be really clear as to what I think might be the case and the steps I would try in your situation with the knowledge I have to date. My steps sound elementary and is not meant to be insulting to you or others.
Ideally, someone else might come across this same issue when searching the forums and I hope everyone will be able to do some self-diagnosing and help themselves.
I find it quite commendable that you have Framework Laptops in a medical office setting. Personally I feel this is a great use case for these devices. You can have a few hot spares and parts on hand to keep everyone running so they can do their jobs.
The ability to quickly and easily replace parts puts these devices so far ahead of the usual case of if it is broken or not working it has to be sent out, or take it apart, try to find the parts, wait for HP/Dell/Lenovo to ship the new one, figure out how to transfer everything over.