chore: update readme badges

[didinele]

Closes #11150

[vercel]

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Project	Deployment	Preview	Comments	Updated (UTC)
discord-js	Ready	Preview	Comment	Oct 8, 2025 10:14am
discord-js-guide	Ready	Preview	Comment	Oct 8, 2025 10:14am

[almeidx]

The Discord server badge is also included in the readme's of packages, e.g.

discord.js/packages/actions/README.md

Line 8 in 88778df

<a href="https://discord.gg/djs"><img src="https://img.shields.io/discord/222078108977594368?color=5865F2&logo=discord&logoColor=white" alt="Discord server" /></a>

stale

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 44.31%. Comparing base (985b525) to head (daf9d54).
⚠️ Report is 8 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main   #11152      +/-   ##
==========================================
+ Coverage   44.26%   44.31%   +0.04%     
==========================================
  Files         313      313              
  Lines       18064    18044      -20     
  Branches     1796     1796              
==========================================
  Hits         7996     7996              
+ Misses      10056    10036      -20     
  Partials       12       12              

Flag	Coverage Δ
core	0.91% <ø> (-0.02%)	⬇️

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[almostSouji]

Can't we use a static badge with the vanity invite instead of removing the discord invite fully?

After some attempts of playing around with it, seems decent?

https://img.shields.io/badge/join_us-on_discord-5865F2?logo=discord&logoColor=white
https://img.shields.io/badge/join_us-on_discord-5865F2?logo=discord

[Jiralite]

That could work. Just dropping the link here: https://shields.io/badges/static-badge

We could keep both badges this way!