Update 4.3.2 to 4.3.3 crashed

I just did it, exported the data, completely uninstalled JEM and reinstalled version 4.3.3 on current Joomla 4. The problem was the same as before. See screenshot of the message after the installation. 

Thank you for more details.

When the xml file cannot be found then there is something strange.

Did you try to install by uploading or by installing by "Install from Web" (in German "Aus Webkatalog installieren"?

Please in Joomla got to System > Maintenance > Database. There check the version number for Database Version and Manifest Version. Is it 4.3.2?
And also there, select JEM and click on "Update Structure".

Then download a new installation package at: www.joomlaeventmanager.net/download?download=135:jem-4-3-3-stable

If you have error login activated, you could provide the log for these errors via PM. (You might want to remove all server specific date from it, like the IP or the path to the Joomla installation). Then we could understand better, whats going on.

First of all, answers to your questions: I have not installed JEM from the ‘web catalogue’. In my working version it says Database : JEM
JEM is an event management component for Joomla
Administrator component No problems Database version 4.3.2 and Manifest version 4.3.2. I can't answer the question about the "Update Structure" because I can't find it. --- Now to my attempts to find a solution: On a Joomla 4 test site I was able to install jem 4..3.3 for the first time without any problems.  Then I once again exported the data on my problem site, uninstalled JEM 4.3.2, deleted the cache and reinstalled JEM 4.3.3. Funnily enough, this time it was successful without any error messages. I then re-imported the old data and it looked fine at first glance. However, ‘No events’ was displayed at the front end, even though there were some. In the backend JEM these are also displayed but there is an error message in the Status field. See the screenshot in the attachment.s   

in the administrator system dashboard, there's a maintenance button for Database. Did you use this? Choose all items and click on update structure. Then check again and reinstall JEM.
publish_up and publish_down is new and it seems not yet integrated into your DB.

I have repaired the database as recommended, although everything was actually ok before. Unfortunately, I can't take the next step with the update to version 4.3.3 later.