database error when finishing update to 5.32
Mysql has a feature called binary logging. You have it turned on, so either:
(a) turn it off, OR
(b) the mysql user needs to have the SUPER privilege, OR
(c) you need to set the mysql configuration variable log_bin_trust_function_creators.
See https://docs.civicrm.org/installation/en/latest/general/requirements/#binary-logging
You may need to ask your hosting provider what they will allow.