Live AI - remove studio output stream push

[mjh1]

We've enabled opus audio which is incompatible with studio for now

[codecov]

Codecov Report

Attention: Patch coverage is 0% with 1 line in your changes missing coverage. Please review.

Project coverage is 32.17133%. Comparing base (0334dfa) to head (0dd4967).

Files with missing lines	Patch %	Lines
server/ai_live_video.go	0.00000%	1 Missing ⚠️

Additional details and impacted files

@@                 Coverage Diff                 @@
##              master       #3429         +/-   ##
===================================================
+ Coverage   32.16514%   32.17133%   +0.00619%     
===================================================
  Files            147         147                 
  Lines          41032       41021         -11     
===================================================
- Hits           13198       13197          -1     
+ Misses         27058       27048         -10     
  Partials         776         776                 

Files with missing lines	Coverage Δ
server/ai_live_video.go	0.00000% <0.00000%> (ø)

... and 1 file with indirect coverage changes

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Files with missing lines	Coverage Δ
server/ai_live_video.go	0.00000% <0.00000%> (ø)

... and 1 file with indirect coverage changes

[j0sh]

If I am reading this correctly it would publish to the hardcoded aiWebrtc/streamkey-out ... can we use the existing path parameter instead? that would also make dev setups a little more consistent where there usually isn't a prefix since there isn't the full k8s ingress setup. see this commit which hoists out the construction for the mediamtx output URL : 603a1bf

btw the behavior before #3396 was publish to mediamtx anyway if no output was specified, we could probably do the same here by reverting most of that change and setting the output URL from the auth webhook to the empty string. That removes all the additional bookkeeping we have now storing the additional mediamtx url, pipe handling, etc