Sound drivers given by mhwd does not function on IDT soundcard

Hello to all!

First time user at the forum and very newbie at using Linux, I need assistance in configuring my old yet reliable laptop, an HP Probook 655 G1, built and sold in 2014, which I installed Manjaro last week, with several issues at first boot.

This current issue, is about the soundcard chip, an IDT High Definition Audio 92HD81B1X that is handled as a generic device, which unfortunately does not provide sound of any kind.

I have been manually (and haphazardly) applying solutions, with varying degrees of success, yet it seems that I’ve borked the audio for good after blindly installing both Pipewire and PulseAudio.

Here is the output of inxi:

inxi -Fazy                                                                                    
System:
  Kernel: 6.1.1-1-MANJARO arch: x86_64 bits: 64 compiler: gcc v: 12.2.0
    parameters: BOOT_IMAGE=/boot/vmlinuz-6.1-x86_64
    root=UUID=a2987ff4-1a0c-4e0a-8bba-3f586a5c4db0 rw quiet splash
    resume=UUID=e823f6d9-7441-4322-8168-f2f70c75b31d udev.log_priority=3
  Desktop: KDE Plasma v: 5.26.4 tk: Qt v: 5.15.7 wm: kwin_x11 vt: 1 dm: SDDM
    Distro: Manjaro Linux base: Arch Linux
Machine:
  Type: Laptop System: Hewlett-Packard product: HP ProBook 655 G1
    v: A3008DD11303 serial: <superuser required> Chassis: type: 10
    serial: <superuser required>
  Mobo: Hewlett-Packard model: 1992 v: KBC Version 05.34
    serial: <superuser required> UEFI: Hewlett-Packard v: L72 Ver. 01.47
    date: 07/30/2018
CPU:
  Info: model: AMD A8-5550M APU with Radeon HD Graphics bits: 64 type: MT MCP
    arch: Piledriver level: v2 built: 2012-13 process: GF 32nm family: 0x15 (21)
    model-id: 0x13 (19) stepping: 1 microcode: 0x600111F
  Topology: cpus: 1x cores: 4 smt: enabled cache: L1: 192 KiB
    desc: d-4x16 KiB; i-2x64 KiB L2: 4 MiB desc: 2x2 MiB
  Speed (MHz): avg: 1565 high: 2100 min/max: 1400/2100 boost: enabled
    scaling: driver: acpi-cpufreq governor: schedutil cores: 1: 1361 2: 1400
    3: 1400 4: 2100 bogomips: 16775
  Flags: avx ht lm nx pae sse sse2 sse3 sse4_1 sse4_2 sse4a ssse3 svm
  Vulnerabilities:
  Type: itlb_multihit status: Not affected
  Type: l1tf status: Not affected
  Type: mds status: Not affected
  Type: meltdown status: Not affected
  Type: mmio_stale_data status: Not affected
  Type: retbleed mitigation: untrained return thunk; SMT vulnerable
  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: Retpolines, IBPB: conditional, STIBP:
    disabled, RSB filling, PBRSB-eIBRS: Not affected
  Type: srbds status: Not affected
  Type: tsx_async_abort status: Not affected
Graphics:
  Device-1: AMD Richland [Radeon HD 8550G] vendor: Hewlett-Packard
    driver: radeon v: kernel alternate: amdgpu arch: TeraScale-3
    code: Northern Islands process: TSMC 32nm built: 2010-13 ports:
    active: DP-2,eDP-1 empty: DP-1,DP-3,DP-4 bus-ID: 00:01.0 chip-ID: 1002:990d
    class-ID: 0300
  Device-2: Cheng Uei Precision Industry (Foxlink) HP HD Webcam type: USB
    driver: uvcvideo bus-ID: 1-5:3 chip-ID: 05c8:0369 class-ID: 0e02
  Display: x11 server: X.Org v: 21.1.6 compositor: kwin_x11 driver: X:
    loaded: radeon unloaded: modesetting alternate: fbdev,vesa dri: r600
    gpu: radeon display-ID: :0 screens: 1
  Screen-1: 0 s-res: 2726x768 s-dpi: 96 s-size: 720x203mm (28.35x7.99")
    s-diag: 748mm (29.45")
  Monitor-1: DP-2 mapped: DisplayPort-1 pos: primary,left model: AOC 1943W
    serial: <filter> built: 2011 res: 1360x768 hz: 60 dpi: 84 gamma: 1.2
    size: 410x230mm (16.14x9.06") diag: 470mm (18.5") ratio: 16:9 modes:
    max: 1366x768 min: 720x400
  Monitor-2: eDP-1 mapped: eDP pos: right model: Samsung 0x4851 built: 2012
    res: 1366x768 hz: 60 dpi: 101 gamma: 1.2 size: 344x194mm (13.54x7.64")
    diag: 395mm (15.5") ratio: 16:9 modes: max: 1366x768 min: 640x480
  API: OpenGL v: 4.5 Mesa 22.3.1 renderer: AMD ARUBA (DRM 2.50.0 /
    6.1.1-1-MANJARO LLVM 14.0.6) direct render: Yes
Audio:
  Device-1: AMD Trinity HDMI Audio vendor: Hewlett-Packard
    driver: snd_hda_intel v: kernel bus-ID: 00:01.1 chip-ID: 1002:9902
    class-ID: 0403
  Device-2: AMD FCH Azalia vendor: Hewlett-Packard driver: snd_hda_intel
    v: kernel bus-ID: 00:14.2 chip-ID: 1022:780d class-ID: 0403
  Sound API: ALSA v: k6.1.1-1-MANJARO running: yes
  Sound Server-1: JACK v: 1.9.21 running: no
  Sound Server-2: PulseAudio v: 16.1 running: yes
  Sound Server-3: PipeWire v: 0.3.63 running: yes
Network:
  Device-1: Realtek RTL8111/8168/8411 PCI Express Gigabit Ethernet
    vendor: Hewlett-Packard driver: r8169 v: kernel pcie: gen: 1 speed: 2.5 GT/s
    lanes: 1 port: 4000 bus-ID: 01:00.0 chip-ID: 10ec:8168 class-ID: 0200
  IF: enp1s0 state: down mac: <filter>
  Device-2: Broadcom BCM43228 802.11a/b/g/n driver: wl v: kernel
    modules: bcma pcie: gen: 1 speed: 2.5 GT/s lanes: 1 bus-ID: 03:00.0
    chip-ID: 14e4:4359 class-ID: 0280
  IF: wlo1 state: up mac: <filter>
Bluetooth:
  Device-1: Broadcom HP Portable Bumble Bee type: USB driver: btusb v: 0.8
    bus-ID: 3-3:2 chip-ID: 0a5c:21f1 class-ID: fe01 serial: <filter>
  Report: rfkill ID: hci0 rfk-id: 1 state: down bt-service: enabled,running
    rfk-block: hardware: no software: yes address: see --recommends
Drives:
  Local Storage: total: 2.27 TiB used: 484.91 GiB (20.8%)
  SMART Message: Unable to run smartctl. Root privileges required.
  ID-1: /dev/sda maj-min: 8:0 vendor: Crucial model: CT500MX500SSD1
    size: 465.76 GiB block-size: physical: 512 B logical: 512 B speed: 6.0 Gb/s
    type: SSD serial: <filter> rev: 032 scheme: GPT
  ID-2: /dev/sdb maj-min: 8:16 type: USB vendor: Western Digital
    model: WD20SDRW-11VUUS0 size: 1.82 TiB block-size: physical: 512 B
    logical: 512 B type: HDD rpm: 5400 serial: <filter> rev: 1026 scheme: GPT
Partition:
  ID-1: / raw-size: 456.66 GiB size: 448.43 GiB (98.20%)
    used: 86.14 GiB (19.2%) fs: ext4 dev: /dev/sda2 maj-min: 8:2
  ID-2: /boot/efi raw-size: 300 MiB size: 299.4 MiB (99.80%)
    used: 312 KiB (0.1%) fs: vfat dev: /dev/sda1 maj-min: 8:1
Swap:
  Kernel: swappiness: 60 (default) cache-pressure: 100 (default)
  ID-1: swap-1 type: partition size: 8.8 GiB used: 512 KiB (0.0%)
    priority: -2 dev: /dev/sda3 maj-min: 8:3
Sensors:
  System Temperatures: cpu: 46.4 C mobo: N/A gpu: radeon temp: 45.0 C
  Fan Speeds (RPM): N/A
Info:
  Processes: 199 Uptime: 1h 6m wakeups: 1 Memory: 6.97 GiB
  used: 3.02 GiB (43.3%) Init: systemd v: 252 default: graphical
  tool: systemctl Compilers: gcc: 12.2.0 clang: 14.0.6 Packages: pm: pacman
  pkgs: 1287 libs: 381 tools: pamac,yay pm: flatpak pkgs: 0 Shell: Zsh v: 5.9
  default: Bash v: 5.1.16 running-in: konsole inxi: 3.3.24

The ALSA information about my system, uploaded to the database:

http://alsa-project.org/db/?f=e2db7810ed6a346f25e3802fad9f3e5127696261

I also have the hardware probe of my current setup:

https://linux-hardware.org/?probe=e5f3b2835d

Thank you for your patience!