Update generated CLI client from staging OpenAPI

[leo-notte]

Summary

• regenerate the Go CLI OpenAPI client from staging
• include the latest profile cookies endpoints and proxy schema updates

Verification

• make check

[greptile-apps]

Greptile Summary

This PR regenerates internal/api/client.gen.go from the staging OpenAPI spec, adding new endpoints and schema updates. No hand-written logic is modified.

• Profile cookies endpoints: Adds ProfileCookiesGet and ProfileCookiesSet (GET/POST /profiles/{id}/cookies) with corresponding request/response models (ProfileCookiesImportRequest, ProfileCookiesImportResponse).
• Secrets management endpoints: Adds ListSecrets, StoreSecret, GetSecret, and DeleteSecret with SecretMetadata, SecretListResponse, SecretStoreRequest, and SecretValueResponse models.
• Schema updates: NotteProxy gains an optional City field; SessionResponseBrowserType constants are renamed with a type prefix (e.g., Chrome → SessionResponseBrowserTypeChrome); several *Result types are renamed for consistency.

Confidence Score: 5/5

Safe to merge — the change is a pure regeneration of a generated client file with no hand-written logic.

All changes are machine-generated from the OpenAPI spec. The renamed constants and result types are not referenced outside the generated file. No existing callers are broken.

No files require special attention, though follow-up PRs implementing CLI commands for the new secrets and profile-cookies endpoints should include tests.

Important Files Changed

Filename	Overview
internal/api/client.gen.go	Regenerated OpenAPI client adding profile cookies (GET/SET) and secrets management (List/Get/Store/Delete) endpoints, a City field to NotteProxy, prefixed SessionResponseBrowserType constants, and new SecretMetadata/SecretListResponse/SecretStoreRequest models. No logic is hand-written; changes are consistent with the existing generated code pattern.

Prompt To Fix All With AI

Fix the following 1 code review issue. Work through them one at a time, proposing concise fixes.

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### Issue 1 of 1
internal/api/client.gen.go:1910-1945
**Missing tests for new endpoints**

This PR introduces two significant new API surface areas — profile cookies (`ProfileCookiesGet`/`ProfileCookiesSet`) and secrets management (`ListSecrets`, `StoreSecret`, `GetSecret`, `DeleteSecret`) — but no corresponding CLI command files or tests accompany them. Existing analogous features like profiles have tests in `internal/cmd/profiles_test.go`. Per the project's test guidelines, at least one integration test should cover new major features.
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