Updates docs and examples about deploying to AWS Lambda

[januswel]

Summary

Update docs and examples to follow deprecation of aws-serverless-express

This PR fixes #799

Requirements (place an x in each [ ])

• I've read and understood the Contributing Guidelines and have done my best effort to follow them.
• I've read and agree to the Code of Conduct.

[codecov]

Codecov Report

Merging #800 (5c236f7) into main (e554d27) will not change coverage.
The diff coverage is n/a.

@@           Coverage Diff           @@
##             main     #800   +/-   ##
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  Coverage   65.24%   65.24%           
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  Files          11       11           
  Lines        1082     1082           
  Branches      320      320           
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  Hits          706      706           
  Misses        317      317           
  Partials       59       59           

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[seratch]

At a glance, the changes look great to me but I would like to have @mwbrooks (the author of this guide)'s eyes first.

[januswel]

Thank you for your review, @seratch
And your Japanese translation is very easy to read 👍

@mwbrooks
Could you take a look at this PR?

[mwbrooks]

Thanks a bunch @januswel for updating our guide to match the latest developments of Serverless Express! 🙇🏻

Your updates look solid and thorough to me!