[Precision 7780, Realtek ALC289, Black Headphone Out, Right] Headphone not used when connected during boot

[Chris]

When the headphone is connected before the computer is booted the sound is played on the speakers and not on the headphone.
When I remove the headphone and insert it back, the sound then switches correctly to the headphone.

=> This seems to be an boot / initialization issue, because generally the hardware does work

$ lsb_release -rd
Description: Ubuntu 22.04.3 LTS

ProblemType: Bug
DistroRelease: Ubuntu 22.04
Package: alsa-base 1.0.25+dfsg-0ubuntu7
ProcVersionSignature: Ubuntu 6.2.0-39.40~22.04.1-generic 6.2.16
Uname: Linux 6.2.0-39-generic x86_64
NonfreeKernelModules: nvidia_modeset nvidia
ApportVersion: 2.20.11-0ubuntu82.5
Architecture: amd64
AudioDevicesInUse:
 USER PID ACCESS COMMAND
 /dev/snd/controlC0: cm 2246 F.... pulseaudio
 /dev/snd/controlC1: cm 2246 F.... pulseaudio
CasperMD5CheckResult: unknown
CurrentDesktop: KDE
Date: Tue Jan 2 08:04:24 2024
InstallationDate: Installed on 2023-08-26 (128 days ago)
InstallationMedia: Kubuntu 22.04.3 LTS "Jammy Jellyfish" - Release amd64 (20230807.1)
PackageArchitecture: all
SourcePackage: alsa-driver
Symptom: audio
Symptom_AlsaPlaybackTest: ALSA playback test through plughw:PCH successful
Symptom_Card: Eingebautes Tongerät - HDA Intel PCH
Symptom_Jack: Black Headphone Out, Right
Symptom_PulsePlaybackTest: PulseAudio playback test successful
Symptom_Type: None of the above
Title: [Precision 7780, Realtek ALC289, Black Headphone Out, Right] Playback problem
UpgradeStatus: No upgrade log present (probably fresh install)
dmi.bios.date: 11/13/2023
dmi.bios.release: 1.8
dmi.bios.vendor: Dell Inc.
dmi.bios.version: 1.8.2
dmi.board.name: 0342YC
dmi.board.vendor: Dell Inc.
dmi.board.version: A00
dmi.chassis.type: 10
dmi.chassis.vendor: Dell Inc.
dmi.ec.firmware.release: 1.6
dmi.modalias: dmi:bvnDellInc.:bvr1.8.2:bd11/13/2023:br1.8:efr1.6:svnDellInc.:pnPrecision7780:pvr:rvnDellInc.:rn0342YC:rvrA00:cvnDellInc.:ct10:cvr:sku0C42:
dmi.product.family: Precision
dmi.product.name: Precision 7780
dmi.product.sku: 0C42
dmi.sys.vendor: Dell Inc.