Cache through type rather than string

[mickvangelderen]

First merge #662

This implements caching through the type or type construct (with tagging information) rather than trying to serialize that information into a string. This fixes the issue illustrated by #664

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 90.83%. Comparing base (e191403) to head (f09d503).
⚠️ Report is 28 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #665      +/-   ##
==========================================
- Coverage   90.91%   90.83%   -0.09%     
==========================================
  Files          13       13              
  Lines        2004     2040      +36     
  Branches      367      370       +3     
==========================================
+ Hits         1822     1853      +31     
- Misses        123      124       +1     
- Partials       59       63       +4     

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[yukinarit]

LGTM, thank you!