I moved your post to keep the information at one place.
I tried the update as described by k3dar. Works fine, but instead Step 3 (because after Magisk was uninstalled, root access is denied), I copied the boot.img from the factory.zip in the mentioned link, posted by _tmp above, and patched this with magisk.
Thank you all for the information.
After step 1 donāt reboot, root is still avaiable ;ā -ā )
Assuming it should be, but trying to copy with dd, it tells me no files found, permission denied.
So I tried the workaround with the boot.img from the zip. 
Before dd you sure switch to root using āsu -ā ?
Yes, here the first try, after these steps, without any update is impossible on my phone:
Disabling firewall AFWall+
Disabling Blockada
Uninstall Magisk (Restore Image)
Download and Install the Upgrade (without Reboot)
These steps are just necessary by upgrading from A13 to A14:
Connect the FP5 with an USB cable to the PC
Starting ADB
FP5:/ $ getprop ro.boot.slot_suffix #
_a
FP5:/ $ su -
/system/bin/sh: su: inaccessible or not found
127|FP5:/ $ su -dd if=/dev/block/by-name/boot_b of=/sdcard/boot_ut20-041_stock.dd.img
/system/bin/sh: su: inaccessible or not found
127|FP5:/ $ dd if=/dev/block/by-name/boot_b of=/sdcard/boot_ut20-041_stock.dd.img
dd: /dev/block/by-name/boot_b: Permission denied
I was pretty careful to not restart the phone after uninstalling Magisk. Maybe it depends on my version of adb, on windows, afwall+ or a data cable. But itĀ“s not a big thing, itĀ“s just needs time to download the zip file.
If anybody else come to this point, thereĀ“s a solution. 
Maybe I found out the reason:
Before uninstalling Magisk:
Connect the phone to the PC with an USB Cable
Open Magisk - Superuser
Check, if
[SharedUID] Shell
has SU rights
DonĀ“t know, if I got a message the first time connecting the phone to the PC. Now adb accept the su and dd command.
Hello!
Does any of you already extracted the stock boot.img from the (fresh new) Android 14 release?
I donāt have my microSD card here so I cannot extract it with TWRP.
And on the download page of Fairphone I see only Android 13 full factory imagesā¦
You can download A14 from this link and extract the boot.img: https://fairphone-android-builds.ams3.digitaloceanspaces.com/FP5/A14/FP5-UT20-factory.zip
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I just updated the FP5 (received about a month ago with Android 14 already installed) from version B.113 to the latest B.122 using the method mentioned above, and it worked.
I had already prepared my PC after reading that it would be necessary to use fastboot, but instead, the procedure mentioned above with Magisk v.29 from my phone was enough.
Since FP6 is most likely not going to be my phone, I consider buying an FP5.
Is it still possible to root with Android 15 and magisk? I guess the instructions donāt have changed, since theyāre still the same in this thread.
And will it pass Safety Net etc, when following the instructions, just like the FP4 did? Would be great to know for banking apps and Disney+ā¦
Thanks in advance!
Is there anyone to answer, please? 
Yes root is possible 
I donāt have Disney+ so I cannot answer the rest of your questionā¦
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Iām running Android 15, after update as stated in my previous post, and I still have root.
Yes, with the right procedure and valid keybox you can obtain Play Integrity Strong attestation. (The maximum value required by apps that use that API, usually banks)
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How did you do that? I keep struggling for quite some time now.