[FIX, DOC] Update doc and tests

[Remi-Gau]

• fix broken tests
• update doc

[codecov-commenter]

Codecov Report

:exclamation: No coverage uploaded for pull request base (main@5838b20). Click here to learn what that means. Patch has no changes to coverable lines.

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Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #67 +/- ## ======================================= Coverage ? 15.92% ======================================= Files ? 10 Lines ? 760 Branches ? 168 ======================================= Hits ? 121 Misses ? 624 Partials ? 15 ``` | Flag | Coverage Δ | | |---|---|---| | macos-latest-3.10 | `15.92% <0.00%> (?)` | | | macos-latest-3.11 | `15.92% <0.00%> (?)` | | | macos-latest-3.8 | `15.94% <0.00%> (?)` | | | macos-latest-3.9 | `15.94% <0.00%> (?)` | | | ubuntu-latest-3.10 | `15.92% <0.00%> (?)` | | | ubuntu-latest-3.11 | `15.92% <0.00%> (?)` | | | ubuntu-latest-3.8 | `15.94% <0.00%> (?)` | | | ubuntu-latest-3.9 | `15.94% <0.00%> (?)` | | | windows-latest-3.10 | `15.92% <0.00%> (?)` | | | windows-latest-3.11 | `15.92% <0.00%> (?)` | | | windows-latest-3.8 | `15.94% <0.00%> (?)` | | | windows-latest-3.9 | `15.94% <0.00%> (?)` | | Flags with carried forward coverage won't be shown. [Click here](https://docs.codecov.io/docs/carryforward-flags?utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=None#carryforward-flags-in-the-pull-request-comment) to find out more.

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