chore(ai-event-client): drop unused @tanstack/ai peerDependency

[valeriudev]

Closes #552.

@tanstack/ai-event-client declared @tanstack/ai as a peerDependency but imports nothing from it — the middleware/usage types are mirrored locally. The only real edge runs the other way (@tanstack/ai depends on ai-event-client), so the peer dep just manufactured a manifest cycle that had to be neutralised with a !@tanstack/ai Nx implicitDependencies hack. This drops both.

Why not linked/fixed changesets instead: the changeset config keeps both empty — independent versioning is the convention — and updateInternalDependencies: patch already bumps ai when ai-event-client changes. So straight removal; happy to revisit if you'd prefer lockstep.

Verified: pnpm install no longer warns about the cyclic workspace dependency, and build / test:types / test:lib (14 passing) / publint --strict / nx affected build all pass.

[coderabbitai]

📝 Walkthrough

Walkthrough

The PR removes the unused @tanstack/ai peer dependency from @tanstack/ai-event-client and its corresponding Nx build-graph workaround. The package does not import from @tanstack/ai and duplicates required types locally, making the peer dependency false and its circular-edge suppression unnecessary.

Changes

Drop unused peer dependency

Layer / File(s)	Summary
Remove peer dependency and Nx workaround .changeset/ai-event-client-drop-peer-dep.md, packages/ai-event-client/package.json, packages/ai-event-client/project.json	Changeset documents removal of @tanstack/ai from peerDependencies and !@tanstack/ai`` from Nx implicitDependencies, eliminating the false circular build edge.

Estimated code review effort

🎯 1 (Trivial) | ⏱️ ~3 minutes

Poem

🐰 A peer that was never a friend,
False cycles have come to an end,
Build DAG flows clean, devtools still sheen,
No imports to mend, just a workaround shed. ✨

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Title check	✅ Passed	The title clearly and concisely describes the main change: removing an unused @tanstack/ai peerDependency from the ai-event-client package.
Linked Issues check	✅ Passed	The PR fulfills all objectives from issue #552: removes peerDependencies and implicitDependencies workaround, retains mirrored types, and provides verification that all builds and tests pass with no cyclic warnings.
Out of Scope Changes check	✅ Passed	All changes are scoped to the stated objectives: only the peerDependency and implicitDependencies workaround are removed; no other modifications are present.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.
Description check	✅ Passed	The PR description comprehensively addresses the changes, rationale, and verification, covering all required aspects despite not following the exact template structure.

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✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests

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