Add login script to page if user signs out on home page

[audiodude]

Fixes #20

[codecov-commenter]

Codecov Report

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

Comparison is base (e974e4a) 95.07% compared to head (6ab7d35) 95.07%.

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Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #29 +/- ## ======================================= Coverage 95.07% 95.07% ======================================= Files 24 24 Lines 1218 1218 ======================================= Hits 1158 1158 Misses 60 60 ```

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