feat(askai): add Agent Studio memory support

[8bittitan]

Why

Agent Studio can now persist and recall user-specific context across conversations through its memory feature. Without support in DocSearch, these memory operations were invisible to users, the agent would silently store and retrieve memories with no feedback, and there was no way to scope memory to an authenticated user.

This PR makes the memory feature first-class in the Ask AI experience so that:

• Users get feedback when memory is used. Memory tool calls (algolia_ponder, algolia_memorize, algolia_memory_search) now surface clear messaging ("Saved to memory" / "Used memory to enhance results") instead of being dropped as unrecognized tool calls. This is opt-in via memory.enabled to avoid changing behavior for integrations that don't use it.
• Memory can be tied to a specific user. A memory.userToken (JWT) is forwarded as the x-algolia-secure-user-token header so the agent reads/writes the correct user's memory, enabling per-user personalization without leaking memory across users.

Notes

• Translations for the new memory messages are exposed and overridable for i18n.
• Custom tool renderers still take precedence over the built-in memory rendering, preserving existing override behavior.
• The shared ToolState primitive was extracted so the new MemoryTool and existing SearchTool render consistently.

Testing

• Enable memory support for your agent on the Algolia Dashboard (docs)
• Enable showing the memory tool calls on the DocSearch UI memory.enabled = true
• Use something like jwt.io's (Agent Studio docs) encoder to generate a JWT to use and pass it through props memory.userToken = JWT

Screenshots

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🟢 Metrics 104 complexity · 7 duplication

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