Laptop sometimes overheating / draining battery while sleeping

My Dell XPS 13 (9380) sometimes overheats / drains battery while in sleep.

This seems to be happening if sleep was triggered while the laptop is still hot (e.g. after running some heavy workload) when the lid is closed; the workaround is to wait for it to cool down before closing the lid.
This is especially dangerous since it overheats even more in a bag.

At first I was suspecting that it just fails to enter the sleep state but I've checked dmesg and I could actually see sleep/resume messages with correct timestamps.

I've seen similar reports with other Intel hardware; seems like Intel is aware of this issue and they're preparing kernel patches to fix that.

References:
https://www.phoronix.com/scan.php?page=news_item&px=Intel-S0ix-Linux-Failure-Hot
https://<email address hidden>/

ProblemType: Bug
DistroRelease: Ubuntu 22.04
Package: linux-image-5.15.0-39-generic 5.15.0-39.42
ProcVersionSignature: Ubuntu 5.15.0-39.42-generic 5.15.35
Uname: Linux 5.15.0-39-generic x86_64
ApportVersion: 2.20.11-0ubuntu82.1
Architecture: amd64
AudioDevicesInUse:
 USER PID ACCESS COMMAND
 /dev/snd/controlC1: abram 3326845 F.... wireplumber
 /dev/snd/controlC0: abram 3326845 F.... wireplumber
 /dev/snd/seq: abram 3326843 F.... pipewire
CasperMD5CheckResult: unknown
CurrentDesktop: ubuntu:GNOME
Date: Wed Jul 6 09:44:18 2022
InstallationDate: Installed on 2019-04-17 (1175 days ago)
InstallationMedia: Ubuntu 19.04 "Disco Dingo" - Alpha amd64 (20190326.2)
MachineType: Dell Inc. XPS 13 9380
ProcFB: 0 i915drmfb
ProcKernelCmdLine: BOOT_IMAGE=/boot/vmlinuz-5.15.0-39-generic root=UUID=f8ab51ef-4c42-4b41-8511-676afb730b66 ro quiet splash i915.enable_guc=3 vt.handoff=7
PulseList: Error: command ['pacmd', 'list'] failed with exit code 1: No PulseAudio daemon running, or not running as session daemon.
RebootRequiredPkgs: Error: path contained symlinks.
RelatedPackageVersions:
 linux-restricted-modules-5.15.0-39-generic N/A
 linux-backports-modules-5.15.0-39-generic N/A
 linux-firmware 20220329.git681281e4-0ubuntu3.2
SourcePackage: linux
UpgradeStatus: Upgraded to jammy on 2022-03-30 (97 days ago)
dmi.bios.date: 12/08/2021
dmi.bios.release: 1.17
dmi.bios.vendor: Dell Inc.
dmi.bios.version: 1.17.0
dmi.board.name: 0KTW76
dmi.board.vendor: Dell Inc.
dmi.board.version: A00
dmi.chassis.type: 10
dmi.chassis.vendor: Dell Inc.
dmi.modalias: dmi:bvnDellInc.:bvr1.17.0:bd12/08/2021:br1.17:svnDellInc.:pnXPS139380:pvr:rvnDellInc.:rn0KTW76:rvrA00:cvnDellInc.:ct10:cvr:sku08AF:
dmi.product.family: XPS
dmi.product.name: XPS 13 9380
dmi.product.sku: 08AF
dmi.sys.vendor: Dell Inc.