Boa dica!
Eu não uso muito o Chrome ou o Firefox, em vez disso uso o Brave, mas para instalar o Chrome (ou atualizar) uso esse script:
https://gist.github.com/ruario/9672759#file-latest-chrome-sh
Daí salvo em $HOME/bin e de vez em quando executo:
$ sudo sh bin/latest-chrome.sh --install
Downloading Google Chrome 119.0.6045.123 for x86_64
--2023-11-10 14:23:49--
https://dl.google.com/linux/chrome/rpm/stable/x86_64/google-chrome-stable-119.0.6045.123-1.x86_64.rp...
Resolvendo dl.google.com (dl.google.com)...
...
...
Slackware package "/tmp/google-chrome-119.0.6045.123-x86_64-1edps.tgz" created.
+==============================================================================
| Upgrading google-chrome-118.0.5993.88-x86_64-1edps package using /tmp/google-chrome-119.0.6045.123-x86_64-1edps.tgz
+==============================================================================
Pre-installing package google-chrome-119.0.6045.123-x86_64-1edps...
Removing package: google-chrome-118.0.5993.88-x86_64-1edps-upgraded-2023-11-10,14:25:18
--> Deleting /usr/doc/google-chrome-118.0.5993.88/latest-chrome.sh
--> Deleting empty directory /usr/doc/google-chrome-118.0.5993.88/
Verifying package google-chrome-119.0.6045.123-x86_64-1edps.tgz.
Installing package google-chrome-119.0.6045.123-x86_64-1edps.tgz:
PACKAGE DESCRIPTION:
# google-chrome (Google Chrome web browser)
#
# Google Chrome is a web browser that combines a minimal design with
# sophisticated technology to make the web faster, safer, and easier.
#
# Homepage:
http://www.google.com/chrome
#
Executing install script for google-chrome-119.0.6045.123-x86_64-1edps.tgz.
Package google-chrome-119.0.6045.123-x86_64-1edps.tgz installed.
Package google-chrome-118.0.5993.88-x86_64-1edps upgraded with new package /tmp/google-chrome-119.0.6045.123-x86_64-1edps.tgz.
$