chore: Disallow unsafe usages of `any` in some components

[connorlanigan]

Description

This PR enables some stricter ESLint rules that detect when we use the any type in an unsafe way. It also fixes some of these unsafe usages. It does not cover all components yet, but the other components might follow in the future.

Related links, issue #, if available: AWSUI-21112

How has this been tested?

Tested locally by running npm run lint.

Review checklist

The following items are to be evaluated by the author(s) and the reviewer(s).

Correctness

• Changes include appropriate documentation updates.
• Changes are backward-compatible if not indicated, see CONTRIBUTING.md.
• Changes do not include unsupported browser features, see CONTRIBUTING.md.
• Changes were manually tested for accessibility, see accessibility guidelines.

Security

• If the code handles URLs: all URLs are validated through the checkSafeUrl function.

Testing

• Changes are covered with new/existing unit tests?
• Changes are covered with new/existing integration tests?

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