fix: Pass authn context into TiledWriter context

[DiamondJoseph]

Closes ACQP-474, ACQP-475 by passing authentication information into the TiledWriter, to allow writing to a Tiled that uses proxy OIDC authentication.

Also refactors handling of #1201/#1202

[codecov]

Codecov Report

❌ Patch coverage is 78.37838% with 8 lines in your changes missing coverage. Please review.
✅ Project coverage is 94.67%. Comparing base (d8a989c) to head (a184bee).
⚠️ Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
src/blueapi/service/interface.py	65.21%	8 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1280      +/-   ##
==========================================
- Coverage   94.92%   94.67%   -0.25%     
==========================================
  Files          42       42              
  Lines        2717     2742      +25     
==========================================
+ Hits         2579     2596      +17     
- Misses        138      146       +8     

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