Initial scaffold: API service, K8s operator, and CRDs

Forgebot is a K8s operator + API service for dispatching AI agent
jobs from git forge commands. Includes:

- CRDs: AgentPool, AgentTask, ProviderQueue, RepositoryBinding
- API server with webhook handler, task queue, and comment proxy
- Operator controllers for task scheduling and job management
- Gitea provider with webhook parsing and signature verification
- PostgreSQL database with auto-migration
- Woodpecker CI pipelines and multi-stage Dockerfiles

internal/apiserver/handlers/health.go

@@ -0,0 +1,30 @@
+package handlers
+
+import (
+	"encoding/json"
+	"net/http"
+
+	"git.unkin.net/unkin/forgebot/internal/database"
+)
+
+type HealthHandler struct {
+	db *database.DB
+}
+
+func NewHealthHandler(db *database.DB) *HealthHandler {
+	return &HealthHandler{db: db}
+}
+
+func (h *HealthHandler) Health(w http.ResponseWriter, r *http.Request) {
+	status := "ok"
+	code := http.StatusOK
+
+	if !h.db.Healthy(r.Context()) {
+		status = "degraded"
+		code = http.StatusServiceUnavailable
+	}
+
+	w.Header().Set("Content-Type", "application/json")
+	w.WriteHeader(code)
+	json.NewEncoder(w).Encode(map[string]string{"status": status})
+}