feat(api): add HTTP and WebSocket APIs (API Gateway v2) to the API Gateway page

API Gateway v2 is a separate AWS API from REST APIs, so HTTP and WebSocket APIs
made with the SDK, SAM, CDK or Terraform never showed up. The API Gateway page
now lists all three kinds with a Type column, creates each from the same form,
and opens HTTP and WebSocket APIs in their own panel:

- Quick create: an HTTP API with a Lambda gets a catch-all route on an
  auto-deployed $default stage, plus the Lambda permission.
- Routes to Lambda (payload 2.0) or HTTP backends; deleting a route removes
  the integration and Lambda permission only it used.
- Stages with or without automatic deployment, and deploy on demand.
- JWT authorizers filled in from a Cognito pool's OpenID Connect discovery
  document and an app client, or from any issuer; protect routes with them.
- CORS configuration.
- A tester that sends a real request to a stage, and for WebSocket APIs one
  that connects, sends a message and collects the replies.

Capabilities are advertised under a new httpApiActions group, covered by the
cloudProxy guard test. Verified end to end against TheCloud's runtime.

packages/api/src/cloudProxy.test.ts

@@ -2,7 +2,7 @@ import {describe, expect, test} from 'bun:test'
 import {createCloudAdapterRegistry} from './cloudProxy'
 import {checkChildCapabilities} from './cloud-spi/childCapabilities'
 import {isServiceType} from './cloud-spi/serviceCatalog'
-import type {CloudProvider, CloudServiceAdapter, CloudServiceType, DatabaseActionName, DistributionActionName, KubernetesActionName, MonitoringActionName, ResourceActionName, UserPoolActionName} from './cloud-spi/types'
+import type {CloudProvider, CloudServiceAdapter, CloudServiceType, DatabaseActionName, DistributionActionName, HttpApiActionName, KubernetesActionName, MonitoringActionName, ResourceActionName, UserPoolActionName} from './cloud-spi/types'
 
 /**
  * Guards the schema-to-implementation contract for every registered adapter.
@@ -55,6 +55,21 @@ const METHOD_FOR_MONITORING_ACTION: Record<MonitoringActionName, keyof CloudServ
     setAlarmActions: 'setAlarmActionsEnabled',
 }
 
+const METHOD_FOR_HTTP_API_ACTION: Record<HttpApiActionName, keyof CloudServiceAdapter> = {
+    describe: 'describeHttpApi',
+    createRoute: 'createHttpApiRoute',
+    deleteRoute: 'deleteHttpApiRoute',
+    setRouteAuthorizer: 'setHttpApiRouteAuthorizer',
+    createStage: 'createHttpApiStage',
+    deleteStage: 'deleteHttpApiStage',
+    deploy: 'deployHttpApi',
+    createAuthorizer: 'createHttpApiAuthorizer',
+    deleteAuthorizer: 'deleteHttpApiAuthorizer',
+    updateCors: 'updateHttpApiCors',
+    sendRequest: 'testApiGatewayRoute',
+    testWebSocket: 'testWebSocketApi',
+}
+
 const METHOD_FOR_DISTRIBUTION_ACTION: Record<DistributionActionName, keyof CloudServiceAdapter> = {
     setEnabled: 'setDistributionEnabled',
     createInvalidation: 'createDistributionInvalidation',
@@ -164,6 +179,15 @@ describe('registered adapters honour their schema', () => {
                 ).toBe('function')
             }
 
+            const httpApiClaims = (adapter.schema().capabilities?.httpApiActions ?? []).filter((capability) => capability.status === 'available')
+            for (const capability of httpApiClaims) {
+                const method = METHOD_FOR_HTTP_API_ACTION[capability.name]
+                expect(
+                    typeof adapter[method],
+                    `${label} advertises ${capability.name} as available but has no ${String(method)}()`,
+                ).toBe('function')
+            }
+
             const distributionClaims = (adapter.schema().capabilities?.distributionActions ?? []).filter((capability) => capability.status === 'available')
             for (const capability of distributionClaims) {
                 const method = METHOD_FOR_DISTRIBUTION_ACTION[capability.name]
@@ -187,6 +211,7 @@ describe('registered adapters honour their schema', () => {
                 ...(adapter.schema().capabilities?.userPoolActions ?? []),
                 ...(adapter.schema().capabilities?.distributionActions ?? []),
                 ...(adapter.schema().capabilities?.monitoringActions ?? []),
+                ...(adapter.schema().capabilities?.httpApiActions ?? []),
                 ...(adapter.schema().capabilities?.collectionActions ?? []),
                 ...(adapter.schema().capabilities?.itemActions ?? []),
             ]