ci,fix: Eagerly cache access tokens in automated-cleanup-resources

[kdestin]

Description

This pull request applies the fix from #3328 to automated-cleanup-resources to work around the inability to refresh tokens when using federated credentials

AADSTS700024: Client assertion is not
     | within its valid time range. Current time: 2024-10-29T10:10:23.3817084Z,
     | assertion valid from 2024-10-[29](https://github.com/Azure/azureml-examples/actions/runs/11569617046/job/32203687637#step:9:30)T08:04:06.0000000Z, expiry time of

Related to #3328

Checklist

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• I have coordinated with the docs team ([email protected]) if this PR deletes files or changes any file names or file extensions.
• Pull request includes test coverage for the included changes.
• This notebook or file is added to the CODEOWNERS file, pointing to the author or the author's team.