Hi there,
I also built a new PC a few weeks ago with nearly identical specs:
OS: first Windows 11 Professional, later on downgraded to Windows 10 Professional while testing and kept it for now
CPU: Intel Core i9-13900K
GPU: NVIDIA GeForce RTX 4070 Ti (ASUS TUF model)
Memory: 64GB DDR5 RAM (2 sticks of Corsair Vengeance)
Storage: different Samsung NVMe SSDs
Motherboard: Gigabyte Z790 AORUS ELITE AX
I've also experienced a quite similar problem, especially with big datasets with 1500+ high res pictures, where Metashape completed the matching points phase, but simply closed all the time while estimating camera locations (at a progress of about 70% - 85%) most of the time without an error message, or anything unusual in logs..
First I tested as suggested with Memtest86 without negative results, every stresstest on GPU, CPU, SSDs and RAM finished successfull, reinstall of every driver and so on, but still metashape was crashing..
I even tried RAM modules of different brands Corsair, Kingston, G.Skill, because the most suggested solution was about faulty RAMs, but it kept crashing with every single brand..
I figured out that metashape had no problem with datasets around 300-500 pictures, so I split up my latest project (5050 pictures) in pieces and merged it back together later on, what caused lots of additional work and bad results in some parts..
I kept following the thread, but had to wait until I got approved on the forums to contribute.
Yesterday evening I read Bzuco's post about SMART tests on NVMe SSDs. I did SMART tests again, like I already did when the problem first occurred, with good results for every parameter.
What made the difference this time and finally seems to led to the solution, at least on my side, was the fact that this time I didn't use any 3rd party software for the SMART tests, but the Samsung Magician software, because there are only Samsung SSDs and NVMes in my current setup (990Pro, 970Evo, 870Evo)..
When inspecting Drive Details in Samsung Magician I realized that all NVMes had firmware updates pending..
I updated the firmware and started the alignment process, which failed every time before (around 20 to 25 tries with different hardware setups and metashape settings), with all of the 5050 pictures..
A few hours later, today in the morning the process finished successfully for the first time on my new PC, all pictures aligned, no crash, full satisfaction

I did a reset of the alignment and ran the process successfully again right before I wrote this post, to confirm the problem of crashing while camera alignment as solved, as stated before, at least for my side..
Long story short..
@Bzuco: Thanks for pushing me towards the solution!

@colbyrand: You didn't mention what NVMe brand you are using, if it's Samsung as well take a look if there are pending firmware updates.

@geodaamkru: Since you mentioned that you are using a Samsung NVMe check for firmware updates in Samsung Magician "Drive Details", if you didn't already do that.
I'll keep you informed if there'll be a crash again, or if it's been the final solution for me

(Alignments successful since fix 2/2)