It would be interesting to see the full log, to try to see why this is happening, if you like to share it.
History of the phone
These things may help with troubleshooting.
It seems to me a bit unlikely Easy Installer would delete the downloads in the event your device was not correctly up to date, but it is a thing that has frequently been asked for that Easy Installer should stop (and report) if the phone is on the wrong Android version.
Has the phone had an effective upgrade to Android 13 ? The This Pixel Experience install page Install PixelExperience on guacamole - PixelExperience Wiki is linked from both Android 13 and 14; it includes the line
If your current installation is newer or older than Android 11, please up- or downgrade to the required version before proceeding (guides can be found on the internet!).
LineageOS and /e/OS recommend upgrade to latest Android 12.
Lineage include a Firmware Upgrade page Update firmware on guacamole | LineageOS Wiki.
While still running Pixel Experience I would run the third party app Oxygen Updater, to check the status of your current Updates.
The device is declared End of Life by OnePlus, this is no bad thing for Custom ROM installers, but you really want to to get the last and latest Firmware on the device, as the /e/ROM is built on that.
I suggest you establish for sure your exact model. This from the lineage wiki
Supported models
GM1910
GM1911
GM1913
GM1917
I did some research into “the last firmware for guacamole”, it was complicated, the end result was for GM1917 - Global/US Unlocked, as it happens, but the correct ROM will be avaulable for each variant, Which phone is best current choice running E/OS (after many failures) - #110 by aibd.
However in that very long thread we did discover that /e/OS guacamole has a very good complement of firmware for Android 13 (T) and it did eventually seem to install ok on Android 11 (R) foundation under the guidance of @piero
Debugging Easy Installer will probably be more work than careful manual install.
guacamole is supported by Supported Devices | OpenAndroidInstaller