With Joomla 5.0.1 and Akeeba Admin Tools Pro 7.4.4 there is no database error.
When I update Admin Tools Pro from version 7.4.4 to version 7.4. 6, the database error occurs:
Table 'jom5_admintools_log' has wrong type or wrong attributes for column 'reason' with type enum('other','admindir','awayschedule','adminpw','ipwl','ipbl','sqlishield','antispam','tpone','tmpl','wafblacklist','template','muashield', 'csrfshield', 'badbehavior', 'geoblocking', 'rfishfield', 'dfishield', 'uploadshield', 'xssshield', 'httpbl', 'loginfailure', 'securitycode', 'sessionshield', 'external', 'nonewadmins', 'nonewfrontendadmins', 'configmonitor', 'phpshield', '404shield', 'itemidshield'). (From the file 7.1.1-20220209.sql.)
If I select Admin Tools Professional in the dashboard under System/Updates/Update Sources and click on "Actions/Activate" and then go to System/Maintenance/Database/Admin Tools and click on "A problem", the error message (From file 7.1.1-20220209.sql.) changes to (From file 7.4.5-20231214.sql.). If I then click on "Admin Tools/Repair", the display 7.4.5-20231214.sql jumps back to 7.1.1-20220209.sql and the error persists.