Morning. PMS stores everything on a Mac in
~/Library/Application Support/Plex Media Server
If you copy that somewhere safe, you can do a complete uninstall then just run a new install for now. If you do the new install in a way that doesn’t try to create Video Preview Thumbnails, sonic analysis, Loudness analysis, or Intro detection, your system will rapidly assimilate your library of media and be ready to use when you go away (would be the hope). You can always come back to your previous install and restore it. The plist can be recreated. It’s worth mentioning again that the one folder holds everything PMS needs to run like before short of being reclaimed.
If you try instead to fix this crash, I’d remove all the plugins for now.
I’ll read the two logs quickly to see if something is obvious.
EDIT: first zip, the Plex Media Server.log suddenly ends mid playback of Joanna! No reason given. If you are the person with Crash Logging disabled, turn it back on in PMS Settings.
EDIT2: Most recent logs from a half hour ago post show something that’s not obvious in the last file to be logged to, the com.plexapp.system.log. Just like your plugins come in a .bundle file, there is a system.bundle that sits atop of all other bundles, and the log file I mentioned and snipped below tells us what the system.bundle is doing.
Your com.plexapp.system.log just says stopping plug-in at 4:48am. So it’s being told to stop. I don’t know what can do that. So enable crash logging, and remove any plug-in you added for now. It turn out the when PMS crashes and you grab zip -rj logs, you grab the latest Crash Log too which can be a more detailed version than Plex receives. I’ve seen a Plex employee ask for that so good job with your log captures. 
2022-10-26 04:18:17,283 (17278b000) : DEBUG (peerservice:233) - Updating existing server Mac-mini (6d14bf03f33085c26b4ddd1a9ce8058d4ecaf728)
2022-10-26 04:18:17,284 (17278b000) : DEBUG (networking:143) - Requesting 'http://127.0.0.1:32400/library/sections'
2022-10-26 04:18:17,289 (17278b000) : DEBUG (networking:143) - Requesting 'http://127.0.0.1:32400/channels/all'
2022-10-26 04:48:34,528 (1006dc580) : INFO (pipeinterface:87) - Stopping plug-in
2022-10-26 05:16:17,268 (1737bb000) : DEBUG (runtime:1156) - Starting timed thread named 'invalidation_timer'
EDIT3: at the moment, your crash logs are from a year ago, and they look like this:
when you enable crash logging, and you zip the logs before restarting pms, the latest crash log will not be zero bytes I’ve been told. okay good luck!
EDIT4: I think you asked somewhere how to safely find previous versions. For a Mac you can find them on this website. If you run a shasum on the file you download and it matches the official zip file, you’re good. Many of us have the official ones still, and here are the recent ones, where the (1) file is the file I just downloaded from that website, and you can see it matches my original
$ shasum *universal*.zip
13775031f5d1fc7253ff15b654fe8efebc12e989 PlexMediaServer-1.28.0.5973-52ca4217f-universal.zip
96b2538fa1e13a91570125342afaff4d9c52732e PlexMediaServer-1.28.0.5998-adb79ff3b-universal.zip
2cf82b505fe43a888164eb0d3bd1f33a8f546a4c PlexMediaServer-1.28.2.6151-914ddd2b3-universal (1).zip
2cf82b505fe43a888164eb0d3bd1f33a8f546a4c PlexMediaServer-1.28.2.6151-914ddd2b3-universal.zip
39ea9ef5e7250741a484ec1e8f232b49415632d4 PlexMediaServer-1.29.0.6244-819d3678c-universal.zip
6996616a39676d66b257d77e0b482cb646d7adda PlexMediaServer-1.29.1.6241-d3d56053f-universal.zip
149ff0ea72f1424a823248ef729d5387086346b4 PlexMediaServer-1.29.1.6260-420892357-universal.zip
26db83a63dee4f96b3a7e9d4d7b96bba9e7af9cb PlexMediaServer-1.29.2.6269-052339d54-universal.zip
d3f43c998bf02950a2037f4993e5e1feee15ef40 PlexMediaServer-1.29.2.6273-2b1f0cbcd-universal.zip
$
I never downloaded any olderr x86_64.zip files. So I can’t hash them for you guys, but someone else can.