feat(core): support ai network search

[akumatus]

What Changed?

• Add PerplexityProvider in backend.
• Update session prompt name if user toggle network search mode in chat panel.
• Add experimental flag for AI network search feature.
• Add unit tests and e2e tests.

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[akumatus]

• feat(core): support ai network search #9357 👈 (View in Graphite)
• canary

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[codecov]

Codecov Report

Attention: Patch coverage is 67.86427% with 161 lines in your changes missing coverage. Please review.

Project coverage is 52.96%. Comparing base (4f10457) to head (58ce865).
Report is 1 commits behind head on canary.

Files with missing lines	Patch %	Lines
...server/src/plugins/copilot/providers/perplexity.ts	67.07%	107 Missing ⚠️
...ocksuite/presets/ai/chat-panel/chat-panel-input.ts	0.00%	25 Missing ⚠️
...t-block/widgets/ai-panel/components/state/input.ts	16.66%	10 Missing ⚠️
...e/src/modules/ai-button/services/network-search.ts	11.11%	8 Missing ⚠️
...ages/backend/server/src/plugins/copilot/session.ts	87.50%	5 Missing ⚠️
...ges/backend/server/src/plugins/copilot/resolver.ts	90.90%	4 Missing ⚠️
...rontend/core/src/blocksuite/presets/ai/ai-panel.ts	0.00%	1 Missing ⚠️
...core/src/blocksuite/presets/ai/chat-panel/index.ts	0.00%	1 Missing ⚠️

Additional details and impacted files

@@             Coverage Diff             @@
##           canary    #9357       +/-   ##
===========================================
+ Coverage   41.77%   52.96%   +11.19%     
===========================================
  Files        1932     2178      +246     
  Lines       68105    98069    +29964     
  Branches    14838    16695     +1857     
===========================================
+ Hits        28450    51946    +23496     
- Misses      38268    44695     +6427     
- Partials     1387     1428       +41     

Flag	Coverage Δ
server-test	78.53% <74.33%> (?)
unittest	32.32% <8.16%> (-0.07%)	⬇️

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[graphite-app]

Merge activity

• Jan 8, 10:47 PM EST: A user added this pull request to the Graphite merge queue.
• Jan 8, 11:15 PM EST: A user merged this pull request with the Graphite merge queue.