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
• v24.1.x
• v23.3.x
• v23.2.x

Release Notes

• none

[vbotbuildovich]

/backport v24.1.x

[vbotbuildovich]

/backport v23.3.x

[vbotbuildovich]

/backport v23.2.x

[vbotbuildovich]

Failed to create a backport PR to v23.2.x branch. I tried:

git remote add upstream https://github.com/redpanda-data/redpanda.git
git fetch --all
git checkout -b backport-pr-18491-v23.2.x-973 remotes/upstream/v23.2.x
git cherry-pick -x ee77491f10ca68daf1f316f7a351c4382ce2b1fe 69d8579e2c1aacb0d5963b74a6eec79888e155ba

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