fix(ampd): resolve deadlock for ampd commands with single broadcast

[cgorenflo]

No description provided.

[codecov]

Codecov Report

Attention: Patch coverage is 53.33333% with 14 lines in your changes missing coverage. Please review.

Project coverage is 93.58%. Comparing base (830d291) to head (c5f0f69).
Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
ampd/src/commands/mod.rs	0.00%	11 Missing ⚠️
ampd/src/broadcaster/mod.rs	78.57%	3 Missing ⚠️

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #609   +/-   ##
=======================================
  Coverage   93.57%   93.58%           
=======================================
  Files         235      235           
  Lines       33627    33633    +6     
=======================================
+ Hits        31467    31475    +8     
+ Misses       2160     2158    -2     

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