docs(licensing): fix LicenseTier values, document EvaluateResult, correct runLicenseCheck idempotency (#609)

Co-authored-by: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

Author: blove

apps/website/content/docs/licensing/getting-started/introduction.mdx

@@ -31,7 +31,7 @@ A token is:
 The payload must match `LicenseClaims`:
 
 ```ts
-type LicenseTier = 'developer-seat' | 'app-deployment' | 'enterprise';
+type LicenseTier = 'developer_seat' | 'team' | 'enterprise';
 
 interface LicenseClaims {
   sub: string;

apps/website/content/docs/licensing/guides/setup.mdx

@@ -23,7 +23,7 @@ import {
 
 const status = await runLicenseCheck({
   package: '@threadplane/example',
-  token: process.env.THREADPLANE_LICENSE,
+  token: process.env['THREADPLANE_LICENSE'],
   publicKey: LICENSE_PUBLIC_KEY,
   isNoncommercial: inferNoncommercial(),
 });

apps/website/content/docs/licensing/reference/api.mdx

@@ -5,7 +5,7 @@ This page documents the public exports from `@threadplane/licensing`.
 ## Types
 
 ```ts
-type LicenseTier = 'developer-seat' | 'app-deployment' | 'enterprise';
+type LicenseTier = 'developer_seat' | 'team' | 'enterprise';
 
 interface LicenseClaims {
   sub: string;
@@ -34,6 +34,14 @@ type LicenseStatus =
   | 'noncommercial';
 ```
 
+```ts
+interface EvaluateResult {
+  status: LicenseStatus;
+  /** Populated when the token was valid (licensed / grace / expired). */
+  claims?: LicenseClaims;
+}
+```
+
 ## verifyLicense()
 
 ```ts
@@ -98,7 +106,7 @@ Runs the full check:
 2. evaluates the license status;
 3. emits a warning when appropriate.
 
-Repeated calls with the same package and token are treated as already handled and return `licensed`.
+Repeated calls with the same package and token are treated as already handled and return the same status computed on the first call (idempotent; not necessarily `licensed`).
 
 ## emitNag()