[PR #8694/d83804db backport][3.11] Add cleanup_ctx example for sharing resources across subapps

[patchback]

This is a backport of PR #8694 as merged into master (d83804d).

Fixes #3876.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

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Additional details and impacted files

@@           Coverage Diff           @@
##             3.11    #8696   +/-   ##
=======================================
  Coverage        ?   97.69%           
=======================================
  Files           ?      108           
  Lines           ?    34075           
  Branches        ?     4055           
=======================================
  Hits            ?    33288           
  Misses          ?      587           
  Partials        ?      200           

Flag	Coverage Δ
CI-GHA	97.59% <ø> (?)
OS-Linux	97.27% <ø> (?)
OS-Windows	94.79% <ø> (?)
OS-macOS	96.93% <ø> (?)
Py-3.10.11	97.03% <ø> (?)
Py-3.10.14	96.98% <ø> (?)
Py-3.11.9	97.22% <ø> (?)
Py-3.12.4	97.31% <ø> (?)
Py-3.8.10	94.40% <ø> (?)
Py-3.8.18	96.76% <ø> (?)
Py-3.9.13	96.91% <ø> (?)
Py-3.9.19	96.86% <ø> (?)
Py-pypy7.3.16	96.45% <ø> (?)
VM-macos	96.93% <ø> (?)
VM-ubuntu	97.27% <ø> (?)
VM-windows	94.79% <ø> (?)

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