Having issues updating to civiCRM 5.32.2
You can't use the WordPress plugin update system. You must do it via either ftp or SSH. You will find the full documentation at https://docs.civicrm.org/sysadmin/en/latest/upgrade/wordpress/
While complete and accurate, the comprehensiveness of that doc can be a little overwhelming. I created a checklist for myself to cover the bases on my server. It may be helpful to you. You can see my CiviCRM upgrade on WordPress summary here: https://kapn.net/support/civicrm-upgrade/
Some bits are very specific to me but they should be obvious. If it looks like gobbledygook to you then ignore it and focus on the official docs above.