Update synthesis agent to include web search and URL context capabilities

[alexeykazakov]

Summary by CodeRabbit

Release Notes

• New Features
  • Added Web Search and URL Context capabilities to agents for enhanced research and investigation.
  • Agents now actively fetch up-to-date web information when uncertain to supplement internal knowledge.
  • Enhanced agent instructions to guide seamless integration of external resources with internal investigations.

[coderabbitai]

Walkthrough

Custom instructions and system prompts for AI agents are updated to introduce Web Search and URL Context capabilities, replacing previous internet research directives with expanded guidance for using Google Search and URL Context to supplement investigations with live web information.

Changes

Cohort / File(s)	Summary
Core Agent Instructions backend/tarsy/agents/synthesis_agent.py	Expanded custom_instructions with new "Web Search and URL Context Capabilities" section, replacing single-sentence internet search directive with structured guidance for using Google Search and URL Context.
E2E Test Expectations backend/tests/e2e/expected_forced_conclusion_conversations.py, backend/tests/e2e/expected_parallel_conversations.py	Updated system prompts to replace internet research instructions with new Web Search and URL Context Capabilities sections, ensuring test expectations align with agent capability documentation.

Estimated code review effort

🎯 2 (Simple) | ⏱️ ~10 minutes

Possibly related PRs

• Nudge synthesis agent to make use of search tools #271: Modifies SynthesisAgent's custom_instructions to add guidance for web search and URL context capabilities, directly related to these instruction updates.

Poem

🐰 Web searches now bloom bright,
With URLs to guide the light,
Our agent hops through facts so spry,
Gathering truth from the web up high! ✨

🚥 Pre-merge checks | ✅ 4

✅ Passed checks (4 passed)

Check name	Status	Explanation
Description Check	✅ Passed	Check skipped - CodeRabbit’s high-level summary is enabled.
Title check	✅ Passed	The pull request title accurately describes the main change: updating the synthesis agent to include web search and URL context capabilities. The title directly corresponds to the modifications made across multiple test and agent files.
Docstring Coverage	✅ Passed	Docstring coverage is 100.00% which is sufficient. The required threshold is 80.00%.
Merge Conflict Detection	✅ Passed	✅ No merge conflicts detected when merging into master

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✨ Finishing touches

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• Post copyable unit tests in a comment

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 83.73%. Comparing base (d38c387) to head (47c0e54).
⚠️ Report is 1 commits behind head on master.

Additional details and impacted files

@@           Coverage Diff           @@
##           master     #272   +/-   ##
=======================================
  Coverage   83.73%   83.73%           
=======================================
  Files         143      143           
  Lines       13543    13543           
=======================================
  Hits        11340    11340           
  Misses       2203     2203           

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