PESDLC-876 Add Filehandlers to boto3 loggers

[savex]

 This adds FileHandlers to boto3 loggers using
 the same filenames and levels that is used in ducktape

 Also, adds the logger name manually to easily identify
 the source of the message next to the module name

Backports Required

• [ ] none - not a bug fix
• [ ] none - this is a backport
• [ ] none - issue does not exist in previous branches
• [ ] none - papercut/not impactful enough to backport
• [x] v24.1.x
• [x] v23.3.x
• [x] v23.2.x

Release Notes

• none