On running Software Updater, I get error message: Software index is broken It is impossible to install or remove any software. Please use the package manager "Synaptic" or run "sudo apt-get install -f" in a terminal to fix this issue at first..When I run that command, I get more error messages.

[thomasesoh]

thomases@Cyberpower-2022:~$ sudo apt-get install -f
[sudo] password for thomases:
Reading package lists... Done
Building dependency tree... Done
Reading state information... Done
The following packages will be REMOVED:
  linux-image-6.5.0-13-generic
0 upgraded, 0 newly installed, 1 to remove and 0 not upgraded.
3 not fully installed or removed.
After this operation, 14.3 MB disk space will be freed.
Do you want to continue? [Y/n] y
(Reading database ... 351549 files and directories currently installed.)
Removing linux-image-6.5.0-13-generic (6.5.0-13.13) ...
/etc/kernel/postrm.d/initramfs-tools:
update-initramfs: Deleting /boot/initrd.img-6.5.0-13-generic
/etc/kernel/postrm.d/zz-update-grub:
Sourcing file `/etc/default/grub'
Generating grub configuration file ...
Script `/boot/grub/grub.cfg.new' contains no commands and will do nothing
Syntax errors are detected in generated GRUB config file.
Ensure that there are no errors in /etc/default/grub
and /etc/grub.d/* files or please file a bug report with
/boot/grub/grub.cfg.new file attached.
run-parts: /etc/kernel/postrm.d/zz-update-grub exited with return code 1
dpkg: error processing package linux-image-6.5.0-13-generic (--remove):
 installed linux-image-6.5.0-13-generic package post-removal script subprocess returned error exit status 1
dpkg: too many errors, stopping
Errors were encountered while processing:
 linux-image-6.5.0-13-generic
Processing was halted because there were too many errors.
E: Sub-process /usr/bin/dpkg returned an error code (1)

ProblemType: Bug
DistroRelease: Ubuntu 23.10
Package: ubuntu-release-upgrader-core 1:23.10.8
ProcVersionSignature: Ubuntu 6.5.0-10.10-generic 6.5.3
Uname: Linux 6.5.0-10-generic x86_64
NonfreeKernelModules: nvidia_modeset nvidia
ApportVersion: 2.27.0-0ubuntu5
Architecture: amd64
CasperMD5CheckResult: unknown
CrashDB: ubuntu
CurrentDesktop: ubuntu:GNOME
Date: Wed Dec 27 06:23:58 2023
InstallationDate: Installed on 2022-01-14 (712 days ago)
InstallationMedia: Ubuntu 20.04.3 LTS "Focal Fossa" - Release amd64 (20210819)
PackageArchitecture: all
ProcEnviron:
 LANG=en_US.UTF-8
 PATH=(custom, no user)
 SHELL=/bin/bash
 XDG_RUNTIME_DIR=<set>
SourcePackage: ubuntu-release-upgrader
Symptom: ubuntu-release-upgrader
UpgradeStatus: No upgrade log present (probably fresh install)
VarLogDistupgradeTermlog: