chore(examples/mysql): modernize this example

[trentm]

• drop Jaeger from examples (given Drop jaeger exporter opentelemetry-specification#3551)
• update otel-collector-contib version and switch from logging to debug exporter (lifted from fix: update references to logging exporter #2441)
• various other small fixes to get the README steps basically working

Refs: #2441

---

@codeboten This builds on your #2441 changes and does other modernization to examples/mysql/... to get it to, at least basically, work.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 90.74%. Comparing base (d08d50d) to head (03ffc25).
Report is 1 commits behind head on main.

Additional details and impacted files

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##             main    #2465   +/-   ##
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  Coverage   90.74%   90.74%           
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  Files         156      156           
  Lines        7723     7723           
  Branches     1588     1588           
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  Hits         7008     7008           
  Misses        715      715           

[raphael-theriault-swi]

Looks good with a small nit.

[codeboten]

Thanks @trentm 👍🏻

[david-luna]

I wonder if the examples should also use the NodeSDK

[trentm]

I wonder if the examples should also use the NodeSDK

Personally, I think so, but that's a separate discussion that I don't want to re-litigate here. I looked briefly, but I don't recall where that earlier discussion was. I thought I'd opened an issue to suggest changing over docs/examples to prefer using NodeSDK, but I cannot find it now.