Solution

Kali 2024.4

apt update

apt install ./xxx_1.3.8_amd64.deb

Note, selecting 'xxx' instead of './xxx_1.3.8_amd64.deb'
Some packages could not be installed. This may mean that you have requested an impossible situation or if you are using the unstable distribution that some required packages have not yet been created or been moved out of Incoming.
The following information may help to resolve the situation:

Unsatisfied dependencies:
xxx : Depends: libwebkit2gtk-4.0-37 but it is not installable
Error: Unable to correct problems, you have held broken packages.

vim /etc/apt/sources.list

# See https://www.kali.org/docs/general-use/kali-linux-sources-list-repositories/
deb http://http.kali.org/kali kali-rolling main contrib non-free non-free-firmware

# Additional line for source packages
# deb-src http://http.kali.org/kali kali-rolling main contrib non-free non-free-firmware

# 默认注释了源码镜像以提高 apt update 速度，如有需要可自行取消注释
deb https://mirrors.tuna.tsinghua.edu.cn/debian/ bookworm main contrib non-free non-free-firmware
# deb-src https://mirrors.tuna.tsinghua.edu.cn/debian/ bookworm main contrib non-free non-free-firmware

deb https://mirrors.tuna.tsinghua.edu.cn/debian/ bookworm-updates main contrib non-free non-free-firmware
# deb-src https://mirrors.tuna.tsinghua.edu.cn/debian/ bookworm-updates main contrib non-free non-free-firmware

deb https://mirrors.tuna.tsinghua.edu.cn/debian/ bookworm-backports main contrib non-free non-free-firmware
# deb-src https://mirrors.tuna.tsinghua.edu.cn/debian/ bookworm-backports main contrib non-free non-free-firmware

# 以下安全更新软件源包含了官方源与镜像站配置，如有需要可自行修改注释切换
deb https://security.debian.org/debian-security bookworm-security main contrib non-free non-free-firmware
# deb-src https://security.debian.org/debian-security bookworm-security main contrib non-free non-free-firmware

apt update

apt install ./xxx_1.3.8_amd64.deb