fix: use explicit connect packet and infer types from mqtt-packet

[robertsLando]

No description provided.

[codecov]

Codecov Report

Patch coverage: 40.00% and project coverage change: -0.20 ⚠️

Comparison is base (0f29bff) 81.43% compared to head (e814238) 81.23%.

❗ Current head e814238 differs from pull request most recent head b8a7c33. Consider uploading reports for the commit b8a7c33 to get more accurate results

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1646      +/-   ##
==========================================
- Coverage   81.43%   81.23%   -0.20%     
==========================================
  Files          21       21              
  Lines        1325     1327       +2     
  Branches      316      318       +2     
==========================================
- Hits         1079     1078       -1     
- Misses        173      175       +2     
- Partials       73       74       +1     

Impacted Files	Coverage Δ
src/lib/client.ts	86.03% <40.00%> (-0.39%)	⬇️

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