Good news!
The Wolfram Team is as always very helpful and fast. THANKS TO ALL OF YOU!
They have now accepted the paclet submission. It is available at:
https://resources.wolframcloud.com/PacletRepository/resources/MarcoThiel/MMAMixedEffects/
Two things:
1) They were really fast. I really appreciate it.
2) I am getting more and more convinced that the Wolfram Language and the entire infrastructure is absolutely great for LLMs.
I am giving more and more Wolfram interaction rights to my agents. Here is what happened with the paclet submission. I had never submitted a paclet before. I told Codex that I wanted to submit this and needed more information about the process and the files to prepare. It went about it, used its browser, downloaded files, filled them in, and apparently finished the submission on its own. I had only planned to get all info I needed, but did not supervise it as I was working on other things.
When - after a couple of hours - I checked my email, the Wolfram team had accepted the submission. Their system is so well designed that it is intuitive enough for an agent. I am in awe.
Thank you again for everything!
PS: The local install works, but ,of course, not all is perfect. I noticed an issue with the paclet install. I have submitted a fix. Until then a temporary workaround is:
PacletInstall["MarcoThiel/MMAMixedEffects"]
Get[FileNameJoin[{PacletObject["MarcoThiel/MMAMixedEffects"]["Location"], "Kernel", "init.m"}]]
Needs["MarcoThiel`MMAMixedEffects`"]
So the Get command will fix it.