deps: migrate ID resolvers from LinearSdkClient to GraphQLClient

[iamfj]

What problem does this solve?

Resolvers currently depend on LinearSdkClient and SDK methods like client.sdk.teams(...), client.sdk.users(...), and client.sdk.issues(...). This keeps the SDK in the command path and preserves a split architecture where resolvers use one client while services use another.

Proposed solution

Migrate SDK-backed resolvers to GraphQLClient and generated GraphQL operations/types.

Affected files:

• src/resolvers/team-resolver.ts
• src/resolvers/user-resolver.ts
• src/resolvers/issue-resolver.ts
• src/resolvers/project-resolver.ts
• src/resolvers/label-resolver.ts
• src/resolvers/status-resolver.ts
• src/resolvers/cycle-resolver.ts
• src/resolvers/initiative-resolver.ts
• src/resolvers/milestone-resolver.ts
• src/resolvers/issue-filter-resolver.ts

Replace:

LinearSdkClient
client.sdk.*
LinearDocument.*

with:

GraphQLClient
client.request(...)
generated query documents and generated filter types

Alternatives considered

• Keep resolver usage on SDK and only remove SDK from transport: not sufficient to remove the dependency.
• Rewrite command flows to use batch resolver queries first: desirable later, but too broad for the dependency-removal migration.

Primary use case

Shell scripting / automation

Additional context

Behavior to preserve:

• UUID passthrough in all resolvers.
• Existing not-found error messages.
• Existing multiple-match handling for users, projects, initiatives, and cycles.
• Cycle disambiguation order: active > next > previous > single match.
• Team lookup order: key first, then name.
• Project includeArchived option.
• Initiative unscoped, team-scoped, owner-scoped, and team+owner scoped lookup behavior.
• Team and issue estimation context resolution.

Acceptance criteria:

• No resolver imports LinearSdkClient.
• No resolver imports from @linear/sdk.
• Resolver tests are updated to mock GraphQLClient.request one layer deep.
• Existing resolver behavior is covered by unit tests.

[linear]

LIN-149