I already saw similar posts, like this or this.
I am on Ubuntu 22.04 (using Xorg).
I have a GeForce RTX 3080.
> nvidia-smi
Sun Apr 30 09:33:25 2023
+---------------------------------------------+
| NVIDIA-SMI 525.105.17 Driver Version: 525.105.17 CUDA Version: 12.0 |
|-------------------------------+----------------------+----------------------+
| GPU Name Persistence-M| Bus-Id Disp.A | Volatile Uncorr. ECC |
| Fan Temp Perf Pwr:Usage/Cap| Memory-Usage | GPU-Util Compute M. |
| | | MIG M. |
|===============================+======================+======================|
| 0 NVIDIA GeForce ... Off | 00000000:01:00.0 On | N/A |
| 0% 43C P8 31W / 340W | 507MiB / 10240MiB | 0% Default |
| | | N/A |
+-------------------------------+----------------------+----------------------+
+---------------------------------------------+
| Processes: |
| GPU GI CI PID Type Process name GPU Memory |
| ID ID Usage |
|=============================================================================|
| 0 N/A N/A 2393 G /usr/lib/xorg/Xorg 114MiB |
| 0 N/A N/A 2600 C+G ...ome-remote-desktop-daemon 217MiB |
| 0 N/A N/A 2639 G /usr/bin/gnome-shell 37MiB |
| 0 N/A N/A 4275 G ...9/usr/lib/firefox/firefox 132MiB |
+---------------------------------------------+
> sudo prime-select query
on-demand
> /usr/bin/nvidia-settings
(nvidia-settings:39496): GLib-GObject-CRITICAL **: 09:43:42.816: g_object_unref: assertion 'G_IS_OBJECT (object)' failed
** Message: 09:43:42.914: PRIME: No offloading required. Abort
** Message: 09:43:42.914: PRIME: is it supported? no

I know I could switch between modes like this:
sudo prime-select nvidia # select nvidia gpu
sudo prime-select intel # select intel gpu
But I would like to know why I can't see anymore PRIME profile tab in the nvidia-settings GUI application. I already tried different driver versions but each one of those just seems to bring me issues in the functioning (also hangs on boot sometimes). The right drivers for my GPU seems to be the 525 version.
EDIT - 1
I just tried @ThomZen answer.
This is what was my nvidia-settings situation:
> apt policy nvidia-settings
nvidia-settings:
Installed: (none)
Candidate: 510.47.03-0ubuntu1
Version table:
510.47.03-0ubuntu1 500
500 http://archive.ubuntu.com/ubuntu jammy/main amd64 Packages
And...
> nvidia-settings -v
nvidia-settings: version 530.30.02
So I tried to remove my current version (530.30.02) and install the 510.47.03 version:
> sudo apt remove nvidia-settings
> sudo apt install nvidia-settings=510.47.03-0ubuntu1
> nvidia-settings -v
nvidia-settings: version 510.47.03
But still PRIME profiles tab is missing in the GUI app:
