perf: add auth support for custom api

[KennethBWSong]

No description provided.

[codecov]

Codecov Report

Attention: Patch coverage is 94.73684% with 1 lines in your changes are missing coverage. Please review.

Project coverage is 87.15%. Comparing base (0cbdb42) to head (d4eca23).
Report is 21 commits behind head on dev.

Additional details and impacted files

@@            Coverage Diff             @@
##              dev   #11084      +/-   ##
==========================================
+ Coverage   87.12%   87.15%   +0.02%     
==========================================
  Files         456      457       +1     
  Lines       27492    27610     +118     
  Branches     5525     5559      +34     
==========================================
+ Hits        23953    24063     +110     
+ Misses       1780     1779       -1     
- Partials     1759     1768       +9     

Files	Coverage Δ
...re/src/component/generator/copilotPlugin/helper.ts	93.93% <100.00%> (+0.19%)	⬆️
packages/fx-core/src/question/create.ts	92.01% <66.66%> (+0.15%)	⬆️

... and 9 files with indirect coverage changes