docs: add docs badge and fix some errors in the documents

[Zncl2222]

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[codacy-production]

Coverage summary from Codacy

See diff coverage on Codacy

Coverage variation	Diff coverage
✅ +0.00% (target: -5.00%)	✅ ∅

Coverage variation details

	Coverable lines	Covered lines	Coverage
Common ancestor commit (2114a81)	1164	1141	98.02%
Head commit (4ff81d7)	1164 (+0)	1141 (+0)	98.02% (+0.00%)

Coverage variation is the difference between the coverage for the head and common ancestor commits of the pull request branch: <coverage of head commit> - <coverage of common ancestor commit>

Diff coverage details

	Coverable lines	Covered lines	Diff coverage
Pull request (#61)	0	0	∅ (not applicable)

Diff coverage is the percentage of lines that are covered by tests out of the coverable lines that the pull request added or modified: <covered lines added or modified>/<coverable lines added or modified> * 100%

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_{Codacy will stop sending the deprecated coverage status from June 5th, 2024. Learn more}

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 97.76%. Comparing base (2114a81) to head (4ff81d7).

Additional details and impacted files

@@           Coverage Diff           @@
##             main      #61   +/-   ##
=======================================
  Coverage   97.76%   97.76%           
=======================================
  Files          10       10           
  Lines        1119     1119           
=======================================
  Hits         1094     1094           
  Misses         16       16           
  Partials        9        9           

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