Thank you for answering on this I was about to loose hope 
I did numerous tests and re-installs, and finally I settled at XFCE garuda DE and the problem persisted, I found on the forums this topic about Nvidia Frogging family drivers: Nvidia-all - Frogging-Family drivers (guide - installation)
And I tried to install them using the latest version and my problem was fixed.
The really odd scenario is that I also tried to install them on the KDE Lite version of garuda, and the problem was still there…
I switched to the ZEN kernel when I went on the XFCE de, not sure if the KDE Lite is installed by default with the lts kernel and zen kernel.
Here is an garuda-inxi output writing from my external monitor and with turned off build in monitor:
garuda-inxi
System:
Kernel: 6.0.12-zen1-1-zen arch: x86_64 bits: 64 compiler: gcc v: 12.2.0
parameters: BOOT_IMAGE=/@/boot/vmlinuz-linux-zen
root=UUID=bba92318-07dc-4f05-8ed6-7d448f8e11a9 rw rootflags=subvol=@
quiet quiet splash rd.udev.log_priority=3 vt.global_cursor_default=0
loglevel=3 ibt=off
Desktop: Xfce v: 4.16.1 tk: Gtk v: 3.24.34 info: xfce4-panel wm: xfwm
v: 4.16.1 vt: 7 dm: LightDM v: 1.32.0 Distro: Garuda Linux base: Arch Linux
Machine:
Type: Laptop System: HP product: HP EliteBook 1050 G1 v: N/A
serial: <superuser required> Chassis: type: 10 serial: <superuser required>
Mobo: HP model: 84E9 v: KBC Version 16.4D.00 serial: <superuser required>
UEFI: HP v: Q72 Ver. 01.17.00 date: 08/05/2021
Battery:
ID-1: BAT0 charge: 69.0 Wh (98.4%) condition: 70.1/96.4 Wh (72.7%)
volts: 12.3 min: 11.6 model: Hewlett-Packard Primary type: Li-ion
serial: <filter> status: not charging cycles: 95
CPU:
Info: model: Intel Core i7-8750H bits: 64 type: MT MCP arch: Coffee Lake
gen: core 8 level: v3 note: check built: 2018 process: Intel 14nm family: 6
model-id: 0x9E (158) stepping: 0xA (10) microcode: 0xF0
Topology: cpus: 1x cores: 6 tpc: 2 threads: 12 smt: enabled cache:
L1: 384 KiB desc: d-6x32 KiB; i-6x32 KiB L2: 1.5 MiB desc: 6x256 KiB
L3: 9 MiB desc: 1x9 MiB
Speed (MHz): avg: 2600 high: 3004 min/max: 800/4100 scaling:
driver: intel_pstate governor: powersave cores: 1: 2998 2: 2200 3: 3000
4: 3001 5: 2200 6: 2200 7: 3004 8: 2997 9: 2200 10: 2200 11: 3000 12: 2200
bogomips: 52799
Flags: avx avx2 ht lm nx pae sse sse2 sse3 sse4_1 sse4_2 ssse3 vmx
Vulnerabilities:
Type: itlb_multihit status: KVM: VMX disabled
Type: l1tf mitigation: PTE Inversion; VMX: conditional cache flushes, SMT
vulnerable
Type: mds mitigation: Clear CPU buffers; SMT vulnerable
Type: meltdown mitigation: PTI
Type: mmio_stale_data mitigation: Clear CPU buffers; SMT vulnerable
Type: retbleed mitigation: IBRS
Type: spec_store_bypass mitigation: Speculative Store Bypass disabled via
prctl
Type: spectre_v1 mitigation: usercopy/swapgs barriers and __user pointer
sanitization
Type: spectre_v2 mitigation: IBRS, IBPB: conditional, RSB filling,
PBRSB-eIBRS: Not affected
Type: srbds mitigation: Microcode
Type: tsx_async_abort status: Not affected
Graphics:
Device-1: Intel CoffeeLake-H GT2 [UHD Graphics 630] vendor: Hewlett-Packard
driver: i915 v: kernel arch: Gen-9.5 process: Intel 14nm built: 2016-20
ports: active: none off: eDP-1 empty: DP-1, DP-2, HDMI-A-1, HDMI-A-2,
HDMI-A-3 bus-ID: 00:02.0 chip-ID: 8086:3e9b class-ID: 0300
Device-2: NVIDIA GP107M [GeForce GTX 1050 Mobile] vendor: Hewlett-Packard
driver: nvidia v: 515.49.25 alternate: nouveau,nvidia_drm non-free: 525.xx+
status: current (as of 2022-12) arch: Pascal code: GP10x
process: TSMC 16nm built: 2016-21 pcie: gen: 1 speed: 2.5 GT/s lanes: 16
link-max: gen: 3 speed: 8 GT/s bus-ID: 01:00.0 chip-ID: 10de:1c8d
class-ID: 0300
Device-3: Chicony HP HD Camera type: USB driver: uvcvideo bus-ID: 1-7:3
chip-ID: 04f2:b5e7 class-ID: 0e02 serial: <filter>
Display: x11 server: X.Org v: 21.1.4 compositor: xfwm v: 4.16.1 driver: X:
loaded: modesetting,nvidia unloaded: nouveau alternate: fbdev,intel,nv,vesa
dri: iris gpu: i915 display-ID: :0.0 screens: 1
Screen-1: 0 s-res: 1920x1080 s-dpi: 96 s-size: 508x286mm (20.00x11.26")
s-diag: 583mm (22.95")
Monitor-1: DP-1-0.2 pos: primary res: 1920x1080 hz: 60 dpi: 93
size: 527x296mm (20.75x11.65") diag: 604mm (23.8") modes: N/A
Monitor-2: eDP-1 size-res: N/A modes: N/A
API: OpenGL Message: Unable to show GL data. Required tool glxinfo
missing.
Audio:
Device-1: Intel Cannon Lake PCH cAVS vendor: Hewlett-Packard
driver: snd_hda_intel bus-ID: 3-1.2:3 v: kernel
alternate: snd_soc_skl,snd_sof_pci_intel_cnl chip-ID: 047f:02ee
class-ID: 0300 bus-ID: 00:1f.3 serial: <filter> chip-ID: 8086:a348
class-ID: 0403
Device-2: NVIDIA GP107GL High Definition Audio driver: snd_hda_intel
v: kernel pcie: speed: Unknown lanes: 63 link-max: gen: 6 speed: 64 GT/s
bus-ID: 01:00.1 chip-ID: 10de:0fb9 class-ID: 0403
Device-3: Plantronics BT600 type: USB
driver: plantronics,snd-usb-audio,usbhid
Device-4: HP USB Audio type: USB driver: hid-generic,snd-usb-audio,usbhid
bus-ID: 3-1.3.5:8 chip-ID: 03f0:0269 class-ID: 0300 serial: <filter>
Sound API: ALSA v: k6.0.12-zen1-1-zen running: yes
Sound Server-1: PulseAudio v: 16.1 running: no
Sound Server-2: PipeWire v: 0.3.61 running: yes
Network:
Device-1: Intel Cannon Lake PCH CNVi WiFi driver: iwlwifi v: kernel
bus-ID: 00:14.3 chip-ID: 8086:a370 class-ID: 0280
IF: wlp0s20f3 state: up mac: <filter>
Device-2: Realtek RTL8153 Gigabit Ethernet Adapter type: USB driver: r8152
bus-ID: 4-1.3.3:4 chip-ID: 0bda:8153 class-ID: 0000 serial: <filter>
IF: enp10s0u1u3u3 state: down mac: <filter>
Bluetooth:
Device-1: Intel Bluetooth 9460/9560 Jefferson Peak (JfP) type: USB
driver: btusb v: 0.8 bus-ID: 1-14:4 chip-ID: 8087:0aaa class-ID: e001
Report: bt-adapter ID: hci0 rfk-id: 0 state: up address: <filter>
Drives:
Local Storage: total: 476.94 GiB used: 24.33 GiB (5.1%)
SMART Message: Required tool smartctl not installed. Check --recommends
ID-1: /dev/nvme0n1 maj-min: 259:0 vendor: Toshiba model: N/A
size: 476.94 GiB block-size: physical: 512 B logical: 512 B speed: 31.6 Gb/s
lanes: 4 type: SSD serial: <filter> rev: AAHA4102 temp: 36.9 C scheme: GPT
Partition:
ID-1: / raw-size: 476.64 GiB size: 476.64 GiB (100.00%)
used: 24.33 GiB (5.1%) fs: btrfs dev: /dev/nvme0n1p2 maj-min: 259:2
ID-2: /boot/efi raw-size: 300 MiB size: 299.4 MiB (99.80%)
used: 608 KiB (0.2%) fs: vfat dev: /dev/nvme0n1p1 maj-min: 259:1
ID-3: /home raw-size: 476.64 GiB size: 476.64 GiB (100.00%)
used: 24.33 GiB (5.1%) fs: btrfs dev: /dev/nvme0n1p2 maj-min: 259:2
ID-4: /var/log raw-size: 476.64 GiB size: 476.64 GiB (100.00%)
used: 24.33 GiB (5.1%) fs: btrfs dev: /dev/nvme0n1p2 maj-min: 259:2
ID-5: /var/tmp raw-size: 476.64 GiB size: 476.64 GiB (100.00%)
used: 24.33 GiB (5.1%) fs: btrfs dev: /dev/nvme0n1p2 maj-min: 259:2
Swap:
Kernel: swappiness: 133 (default 60) cache-pressure: 100 (default)
ID-1: swap-1 type: zram size: 30.7 GiB used: 0 KiB (0.0%) priority: 100
dev: /dev/zram0
Sensors:
System Temperatures: cpu: 55.0 C pch: 59.0 C mobo: N/A
Fan Speeds (RPM): N/A
Info:
Processes: 328 Uptime: 31m wakeups: 1 Memory: 30.7 GiB
used: 4.44 GiB (14.5%) Init: systemd v: 252 default: graphical
tool: systemctl Compilers: gcc: 12.2.0 Packages: pm: pacman pkgs: 1273
libs: 350 tools: octopi,pamac,paru Shell: Bash v: 5.1.16 running-in: guake
inxi: 3.3.24
Garuda (2.6.10-1):
System install date: 2022-12-13
Last full system update: 2022-12-14 ↻
Is partially upgraded: No
Relevant software: NetworkManager
Windows dual boot: No/Undetected
Snapshots: Snapper
Failed units: