Fix/remove depends on and input examples from gh e2e workflow

[Zvikan]

What does this PR do?

• Remove examples that require input vars
• Remove depends_on from new-vpc example

Motivation

• with latest upgrade to upstream version, we can't use depends_on on main accelerator module due to changes with the upstream EKS module - see here for more info
• Remove examples that require input vars, currently GH e2e workflow does not support those examples.

More

• Yes, I have tested the PR using my local account setup (Provide any test evidence report under Additional Notes)
• Yes, I have added a new example under examples to support my PR
• Yes, I have created another PR for add-ons under add-ons repo (if applicable)
• Yes, I have updated the docs for this feature
• Yes, I ran pre-commit run -a with this PR

Note: Not all the PRs required examples and docs except a new pattern or add-on added.

For Moderators

• E2E Test successfully complete before merge?

Additional Notes

[kcoleman731]

Lgtm!