The log file says that the backup has finished successfully after 77 seconds, with a backup archive that's 886155390 bytes big. That's reasonable for a modern virtualised server – it's pretty much the backup speed I get on Akamai (formerly Linode) testing servers. However, I assume that's the live site. Please keep in mind that we always need the log file of the failed backup to help you.
Luckily, in your screen recording you see an error message at 02:27 which tells you that there is a file missing from the component. Install Akeeba Backup twice in a row, without uninstalling it before or in between, to force Joomla! to put this file back. Then, your backup should work.
If the backup fails again with the message that the administrator/components/com_akeebabackup/installers/angie.jpa file does not exist, and especially if this “randomly” happens after a while since you repaired the installation using the double installation trick, you need to contact your host. We've seen some hosts which automatically delete or rename files because they have an unreliable “security scanner” which mistakes legitimate files for suspicious files.
Nicholas K. Dionysopoulos
Lead Developer and Director
🇬🇷Greek: native 🇬🇧English: excellent 🇫🇷French: basic • 🕐 My time zone is Europe / Athens
Please keep in mind my timezone and cultural differences when reading my replies. Thank you!