Ubuntu 22.10 & new nvidia GeForce RTX 4800 (525 driver) - sound output to HDMI works incorrect

I've recently bought and installed to existing Ubuntu 22.10 GeForce RTX 4800 instead of RTX 2060. The first trouble was to install a driver for the graphics card - there is no option for that. I've used nvidia.com official website and used it's search to find a proper one driver - 525. After the installation from a '.run' file everything works just fine, but there is a problem with sound output.

I have the following connections:

1. A TV connected to HDMI-0;
2. A monitor with built-in speakers connected to DisplayPort (DP-0);
3. A sound system connected by optics to the motherboard port;
4. A webcam with built-in microphone.
5. A dedicated microphone connected via USB.

All worked well while using RTX 2060. Now I can't play sound to the TV through the HDMI output.

    aplay -l

output is:

**** List of PLAYBACK Hardware Devices ****
card 0: PCH [HDA Intel PCH], device 0: ALC897 Analog [ALC897 Analog]
  Subdevices: 1/1
  Subdevice #0: subdevice #0
card 0: PCH [HDA Intel PCH], device 1: ALC897 Digital [ALC897 Digital]
  Subdevices: 1/1
  Subdevice #0: subdevice #0
card 2: NVidia [HDA NVidia], device 3: HDMI 0 [VX3211-4K    ]
  Subdevices: 1/1
  Subdevice #0: subdevice #0
card 2: NVidia [HDA NVidia], device 7: HDMI 1 [LG TV        ]
  Subdevices: 1/1
  Subdevice #0: subdevice #0
card 2: NVidia [HDA NVidia], device 8: HDMI 2 [HDMI 2]
  Subdevices: 1/1
  Subdevice #0: subdevice #0
card 2: NVidia [HDA NVidia], device 9: HDMI 3 [HDMI 3]
  Subdevices: 1/1
  Subdevice #0: subdevice #0
card 3: NTUSB [RODE NT-USB], device 0: USB Audio [USB Audio]
  Subdevices: 1/1
  Subdevice #0: subdevice #0

So there is LG TV on HDMI-1 listed. But there is no option in Settings to play to HDMI-1. The only option using HDA Nvidia is "HDMI".

Alsamixer:

┌────────────────────────────── AlsaMixer v1.2.6 ──────────────────────────────┐
│ Card: HDA NVidia                                     F1:  Help               │
│ Chip: Nvidia Generic HDMI                            F2:  System information │
│ View: F3:[Playback] F4: Capture  F5: All             F6:  Select sound card  │
│ Item: S/PDIF                                         Esc: Exit               │
│                                                                              │
│                                                                              │
│                                                                              │
│                                                                              │
│                                                                              │
│                                                                              │
│                                                                              │
│                       ┌──┐     ┌──┐     ┌──┐     ┌──┐                        │
│                       │OO│     │OO│     │OO│     │OO│                        │
│                       └──┘     └──┘     └──┘     └──┘                        │
│                    < S/PDIF >S/PDIF 1 S/PDIF 2 S/PDIF 3                      │
│                                                                              │
│                                                                              │
│                                                                              │
│                                                                              │
│                                                                              │
│                                                                              │
│                                                                              │
└──────────────────────────────────────────────────────────────────────────────┘

No way to increase volume here.

pavucontrols sees as available options to HDA Nvidia:

1. Digital Stereo (HDMI) Output
2. Digital Stereo (HDMI 4) Output (unplugged)(unavailable)
3. Digital Stereo (HDMI 3) Output (unplugged)(unavailable)
4. Digital Stereo (HDMI 2) Output
5. Pro Audio
6. Off

When I choose HDMI or HDMI 2 they both plays to HDMI - my monitor with speakers instead of TV.

I can even see 2 devices on Nvidia card, but choosing any of them causing playing sound to the monitor again: Screenshot:Choosing sound devices from the quick menu

Please, give me a piece of advice.