Use state to track members

[pool2win]

Apologies to my future self for the large PR, but right now we need to ship buddy!

[codecov]

Codecov Report

Attention: Patch coverage is 88.70968% with 49 lines in your changes missing coverage. Please review.

Project coverage is 87.52%. Comparing base (fa78c28) to head (45b4728).

Files with missing lines	Patch %	Lines
src/node/protocol/dkg/trigger.rs	14.28%	42 Missing ⚠️
src/node/state.rs	83.33%	5 Missing ⚠️
src/node.rs	94.44%	1 Missing ⚠️
src/node/protocol/init.rs	50.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main      #49      +/-   ##
==========================================
+ Coverage   87.12%   87.52%   +0.40%     
==========================================
  Files          26       26              
  Lines        3876     4145     +269     
==========================================
+ Hits         3377     3628     +251     
- Misses        499      517      +18     

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