Remove deprecated code

[TimDiekmann]

🌟 What is the purpose of this PR?

With the next release being 0.3, deprecated code should be removed

[codecov]

Codecov Report

Merging #1485 (194e256) into main (0e4646f) will decrease coverage by 0.26%.
The diff coverage is 100.00%.

@@            Coverage Diff             @@
##             main    #1485      +/-   ##
==========================================
- Coverage   44.84%   44.57%   -0.27%     
==========================================
  Files         315      315              
  Lines       17328    17226     -102     
  Branches      813      813              
==========================================
- Hits         7770     7678      -92     
+ Misses       9553     9543      -10     
  Partials        5        5              

Flag	Coverage Δ
error-stack	90.80% <100.00%> (+0.03%)	⬆️
unit-tests	1.17% <ø> (ø)

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Impacted Files	Coverage Δ
packages/libs/error-stack/src/fmt/hook.rs	89.61% <ø> (ø)
packages/libs/error-stack/src/fmt/mod.rs	95.12% <ø> (-0.05%)	⬇️
packages/libs/error-stack/src/frame/mod.rs	75.00% <ø> (+1.31%)	⬆️
packages/libs/error-stack/src/hook.rs	100.00% <ø> (+8.16%)	⬆️
packages/libs/error-stack/src/lib.rs	38.46% <ø> (ø)
packages/libs/error-stack/src/result.rs	88.70% <ø> (+4.09%)	⬆️
packages/libs/error-stack/src/compat/anyhow.rs	94.73% <100.00%> (-0.72%)	⬇️
packages/libs/error-stack/src/compat/eyre.rs	94.11% <100.00%> (-0.33%)	⬇️
packages/libs/error-stack/src/frame/frame_impl.rs	89.74% <100.00%> (-1.81%)	⬇️
packages/libs/error-stack/src/report.rs	88.81% <100.00%> (-1.36%)	⬇️
... and 1 more

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