doc: Remove private installation from docs

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Comparison is base (3097b83) 92.25% compared to head (aa1a1bd) 92.25%.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #43 +/- ## ======================================= Coverage 92.25% 92.25% ======================================= Files 5 5 Lines 142 142 ======================================= Hits 131 131 Misses 11 11 ```

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