docs: Add code samples to v2 info sidebar

[maggieneterval]

Fixes: #6488

#7906 added the correct markup to both v1 and v2 docs, but only updated the v1 json file. This PR copies the json changes over to v2, so that the code samples are rendered on the v2 docs site.

[maggieneterval]

@aaron-prindle Sorry for missing this in my initial CL!

[aaron-prindle]

LGTM! Np, thanks for the fix here!

[codecov]

Codecov Report

Merging #8119 (06a6615) into main (290280e) will decrease coverage by 4.25%.
The diff coverage is 53.26%.

@@            Coverage Diff             @@
##             main    #8119      +/-   ##
==========================================
- Coverage   70.48%   66.23%   -4.26%     
==========================================
  Files         515      599      +84     
  Lines       23150    29348    +6198     
==========================================
+ Hits        16317    19438    +3121     
- Misses       5776     8457    +2681     
- Partials     1057     1453     +396     

Impacted Files	Coverage Δ
cmd/skaffold/app/cmd/completion.go	13.04% <0.00%> (-1.25%)	⬇️
cmd/skaffold/app/cmd/credits/export.go	0.00% <0.00%> (ø)
cmd/skaffold/app/cmd/deploy.go	40.90% <0.00%> (-12.94%)	⬇️
cmd/skaffold/app/cmd/test.go	44.44% <0.00%> (ø)
cmd/skaffold/app/exitcode.go	100.00% <ø> (+6.66%)	⬆️
cmd/skaffold/skaffold.go	0.00% <0.00%> (ø)
cmd/skaffold/app/cmd/inspect_tests.go	62.50% <14.28%> (-1.14%)	⬇️
cmd/skaffold/app/cmd/render.go	35.48% <18.18%> (-5.90%)	⬇️
cmd/skaffold/app/cmd/lsp.go	28.12% <28.12%> (ø)
cmd/skaffold/app/cmd/run.go	64.28% <33.33%> (-9.63%)	⬇️
... and 393 more

📣 We’re building smart automated test selection to slash your CI/CD build times. Learn more