[code-infra] Migrate `aws-sdk` to v3

[Janpot]

Steps to reproduce

Check CI output: https://app.circleci.com/pipelines/github/mui/material-ui/137230/workflows/fcd89719-5dcd-4394-aac0-9bc600d5519b/jobs/739730/parallel-runs/0/steps/0-105?invite=true#step-105-2740_89

.../node_modules/aws-sdk postinstall: ╔═════════════════════════════════════════════════╗
.../node_modules/aws-sdk postinstall: ║ The AWS SDK for JavaScript (v2) will reach      ║
.../node_modules/aws-sdk postinstall: ║ -> maintenance mode on September 8, 2024.       ║
.../node_modules/aws-sdk postinstall: ║ -> end-of-support on September 8, 2025.         ║
.../node_modules/aws-sdk postinstall: ║                                                 ║
.../node_modules/aws-sdk postinstall: ║ To continue receiving updates to AWS services,  ║
.../node_modules/aws-sdk postinstall: ║ bug fixes, and security updates please upgrade  ║
.../node_modules/aws-sdk postinstall: ║ to AWS SDK for JavaScript (v3).                 ║
.../node_modules/aws-sdk postinstall: ║                                                 ║
.../node_modules/aws-sdk postinstall: ║ More info: https://a.co/cUPnyil                 ║
.../node_modules/aws-sdk postinstall: ╚═════════════════════════════════════════════════╝

Current behavior

No response

Expected behavior

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Context

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Your environment

npx @mui/envinfo

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Search keywords: aws-sdk

[ZeeshanTamboli]

There's a PR for it: #39723.