Hide icon names in ChatReactionIcons

[ahuang11]

With #6411, if a name is set, the icon will show a name on the side, and ChatReactionIcons uses that attribute to store its reactions initially.

This PR instead sets reaction on _reaction, but unsure if this is the best way to approach this.

Before:

After:

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 71.62%. Comparing base (ecc2aab) to head (13a8076).

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #6433   +/-   ##
=======================================
  Coverage   71.62%   71.62%           
=======================================
  Files         310      310           
  Lines       45912    45913    +1     
=======================================
+ Hits        32884    32885    +1     
  Misses      13028    13028           

Flag	Coverage Δ
unitexamples-tests	71.62% <100.00%> (+<0.01%)	⬆️

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