XRandR does not see HDMI monitor on laptop (Arch linux)

I Have a Dell G3 3779 laptop shipped with GTX1050Ti, with Arch linux and i3-wm, and I want to connect HDMI monitor to it. As far as i know (correct me if i'm wrong), even on windows there is no way to run main display on GTX, as well as there is no way to run HDMI monitor on integrated graphics card, however windows combines them just fine. In my xorg.conf I have:

Section "ServerLayout"    Identifier     "X.org Configured"    Screen      0  "Screen0" 0 0    Screen      1  "Screen1" LeftOf "Screen0"    InputDevice    "Mouse0" "CorePointer"    InputDevice    "Keyboard0" "CoreKeyboard"EndSectionSection "Files"    ModulePath   "/usr/lib/xorg/modules"    FontPath     "/usr/share/fonts/misc"    FontPath     "/usr/share/fonts/TTF"    FontPath     "/usr/share/fonts/OTF"    FontPath     "/usr/share/fonts/Type1"    FontPath     "/usr/share/fonts/100dpi"    FontPath     "/usr/share/fonts/75dpi"EndSectionSection "Module"    Load  "glx"EndSectionSection "Monitor"    Identifier   "Monitor0"EndSectionSection "Monitor"    Identifier   "Monitor1"EndSectionSection "Device"    Identifier  "Card0"    Driver      "intel"    BusID       "PCI:0:2:0"EndSectionSection "Device"    Identifier  "Card1"    Driver      "nvidia"    BusID       "PCI:1:0:0"EndSectionSection "Screen"    Identifier "Screen0"    Device     "Card0"    Monitor    "Monitor0"    SubSection "Display"        Viewport   0 0        Depth     1    EndSubSection    SubSection "Display"        Viewport   0 0        Depth     4    EndSubSection    SubSection "Display"        Viewport   0 0        Depth     8    EndSubSection    SubSection "Display"        Viewport   0 0        Depth     15    EndSubSection    SubSection "Display"        Viewport   0 0        Depth     16    EndSubSection    SubSection "Display"        Viewport   0 0        Depth     24    EndSubSectionEndSectionSection "Screen"    Identifier "Screen1"    Device     "Card1"    Monitor    "Monitor1"    SubSection "Display"        Viewport   0 0        Depth     1    EndSubSection    SubSection "Display"        Viewport   0 0        Depth     4    EndSubSection    SubSection "Display"        Viewport   0 0        Depth     8    EndSubSection    SubSection "Display"        Viewport   0 0        Depth     15    EndSubSection    SubSection "Display"        Viewport   0 0        Depth     16    EndSubSection    SubSection "Display"        Viewport   0 0        Depth     24    EndSubSectionEndSection

(I omitted everything unrelated to monitors)
With this configuration, it only outputs to my main monitor, and xrandr -q outputs the following:

Screen 0: minimum 8 x 8, current 1920 x 1080, maximum 32767 x 32767eDP1 connected primary 1920x1080+0+0 (normal left inverted right x axis y axis) 380mm x 210mm   1920x1080     60.13*+  59.93    48.07  <other resolution info>DP1 disconnected (normal left inverted right x axis y axis)DP2 disconnected (normal left inverted right x axis y axis)HDMI1 disconnected (normal left inverted right x axis y axis)HDMI2 disconnected (normal left inverted right x axis y axis)VIRTUAL1 disconnected (normal left inverted right x axis y axis)

The important thing to note is that my mouse CAN go to the other display, and I can see it showing as a black cross, but i can't do anything with it.If i change one line of xorg.conf for Device with Identifier "Card0" as following:
driver "intel" -> driver "nvidia"
then it starts outputting only to my HDMI monitor, and first monitor shows tty as it was before running startx. the output of xrandr -q in that case:

Screen 0: minimum 8 x 8, current 1360 x 768, maximum 32767 x 32767HDMI-0 connected primary 1360x768+0+0 (normal left inverted right x axis y axis) 160mm x 90mm   1360x768      60.02*+   1920x1080     59.94    50.00    29.97    25.00    23.98    60.05    60.00    50.04     1280x720      60.00    59.94    50.00     1024x768      75.03    70.07    60.00     800x600       75.00    72.19    60.32     720x576       50.00     720x480       59.94     640x480       75.00    72.81    59.94

It does not output information about any other displays at all, it only sees one display (the bad resolution is not the problem since this is an old TV). Also, the mouse, unlike with previous config, can not go to the second monitor.

So the question is: How to configure Xorg in such a way that xrandr outputs on both my monitors? One related answer that I found was about Ubuntu:
https://askubuntu.com/questions/796827/hdmi1-is-disconnected
and it didn't work for me. Moreover, my Microsoft edge completely broke until I reinstalled nvidia drivers (it was showing random pixels). I also tried installing bumblebee, but didn't go too far with it. Both config files were originally generated automatically, one with Xorg --configure (that outputs to main display) and other with nvidia-xconfig (that outputs to HDMI display). for additional info, the result of running lspci -k | grep -A 2 -E "(VGA|3D)":

00:02.0 VGA compatible controller: Intel Corporation CoffeeLake-H GT2 [UHD Graphics 630]    DeviceName: Onboard - Video    Subsystem: Dell CoffeeLake-H GT2 [UHD Graphics 630]--01:00.0 3D controller: NVIDIA Corporation GP107M [GeForce GTX 1050 Ti Mobile] (rev a1)    Subsystem: Dell GP107M [GeForce GTX 1050 Ti Mobile]    Kernel driver in use: nvidia

I do use dual booting, but secure boot is disabled (question xrandr does not detect HDMI port)