Oh, DUH! I just realized the colorimeter you're using is out of production. The Calibrite software doesn't support that model. These are the only ones, which are all newer units:
Calibrite Display 123
Calibrite Display SL
Calibrite Display Pro HL
Calibrite Display Plus HL
ColorChecker Display
ColorChecker Display Pro
ColorChecker Display Plus
So, I went back to X-Rite's site to look up your model (that's where I finally found it's an out of production unit). If you check for the latest software, it tells you to go to calibrite.com, which is pointless since the software there doesn't support your device.
That led me over to X-Rite's main download page where I figured, what the heck, I'll just look to see what devices i1Profiler supports. And there in the listing, it plainly states:
Version 3.7.1
Upgrade Notes – This was the last i1Profiler release to support the i1Display family of display colorimeters. These devices will be supported in software from X-Rite’s partner Calibrite. Please go to www.calibrite.com to download new software.
i1Profiler 3.7.1 adds support for macOS 14 (Sonoma).
And we already know the second sentence isn't true. At least not if the user has an older device.
It appears then your best bet is to install i1Profiler 3.7.1.
I've used X-Rite's stuff for about four decades, and one thing in particular that will drive you nuts is how quickly they mothball older devices. Nothing wrong with what you have, works just fine, but it suddenly gets dropped from software support. It's a very forced, and expensive, upgrade train they try to keep their users on.
Not that it's impossible to keep using your older devices, but you then have to dead-end yourself with the last version of software that supports your device, and the last OS it will run under. But plenty of print shops do that. No way are they going to unnecessarily toss a $3,000 i1iSis auto-reading spectrophotometer that has nothing wrong with it. They just keep an older Mac or Windows machine running to use it for that one purpose.
On the flip side (to be fair), some equipment has to be left in the dust. And these types of colorimeters are always the first to go. The issue is that monitors are advancing rapidly. Both in the nits (brightness) they can emit, and much wider color gamuts. Even compared to displays from just a few years ago.
What happens is the older colorimeters can't handle this output. Sure, you can still run the software with the older device and create what you think is a usable monitor profile. But, it's actually not a very good profile. The output from the monitor exceeds the colorimeter's physical ability to handle the output (clipped) and can't produce an accurate result. The current low end Display SL can handle 1,000 nits. Which sounds like a lot until you compare it to the Display Plus HL, which can handle 10,000 nits.
Edit: Or, you can go back to calibrite.com on the software downloads page. Scroll down to the bottom of older software. ccProfiler 1.1.4 supports your colorimeter.