docs: Improve clipboard handling for Safari in LLMButtons component

[birosrichard]

Copy to clipboard in Safari is not working correctly with async content.

https://wolfgangrittner.dev/how-to-use-clipboard-api-in-safari/

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 92.25%. Comparing base (202b500) to head (390d021).
⚠️ Report is 2 commits behind head on master.

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #1755      +/-   ##
==========================================
- Coverage   92.26%   92.25%   -0.01%     
==========================================
  Files         156      156              
  Lines       10644    10644              
==========================================
- Hits         9821     9820       -1     
- Misses        823      824       +1     

Flag	Coverage Δ
unit	92.25% <ø> (-0.01%)	⬇️

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[barjin]

Thank you!

Note that similar issues might be present across the other projects' docs.