feat(backend): Discord OAuth login with DB-backed sessions (#23)

The browser UI signs in with a Discord authorization code grant
(identify + guilds.members.read) instead of a shared password. Guild
membership is the gate; the owner's Discord ID is the only identity
allowed in while registration is closed. Sessions become rows in a
sessions table with opaque random ids — the cookie carries only the id,
looked up and expiry-checked per request — so deleting a row revokes a
session. HMAC cookie signing, its derived key, and WEB_PASSWORD are
gone, and no replacement signing secret is introduced (ADR-0002).

Discord's API base is configurable (DISCORD_API_BASE); the full flow is
tested through the real router against a local stub, including the
form-encoded token exchange Discord rejects if sent as JSON.

backend/internal/web/oauth_test.go

@@ -0,0 +1,56 @@
+package web
+
+import (
+	"testing"
+	"time"
+)
+
+func TestOAuthStateSingleUse(t *testing.T) {
+	s := newOAuthStates()
+	s.put("st", time.Now().Add(time.Minute))
+	if !s.take("st") {
+		t.Fatal("take of a fresh state = false, want true")
+	}
+	if s.take("st") {
+		t.Fatal("take of a consumed state = true, want false")
+	}
+}
+
+func TestOAuthStateUnknownOrExpired(t *testing.T) {
+	s := newOAuthStates()
+	if s.take("never-seen") {
+		t.Fatal("take of an unknown state = true, want false")
+	}
+	s.put("stale", time.Now().Add(-time.Minute))
+	if s.take("stale") {
+		t.Fatal("take of an expired state = true, want false")
+	}
+}
+
+// The map is capped: a flood of starts evicts the oldest states, and consumed
+// states (which leave the FIFO behind) must not defeat the cap.
+func TestOAuthStateEviction(t *testing.T) {
+	s := newOAuthStates()
+	key := func(i, salt int) string {
+		return string(rune('a'+i%26)) + string(rune('0'+i/26+salt*16))
+	}
+	now := time.Now().Add(time.Hour)
+	for i := 0; i < maxStates*2; i++ {
+		s.put(key(i, 0), now)
+	}
+	if got := len(s.expiry); got != maxStates {
+		t.Fatalf("states after a flood = %d, want %d", got, maxStates)
+	}
+
+	// Consume everything, then flood again: the map stays bounded and the
+	// eviction loop pops the stale FIFO entries instead of stalling.
+	for state := range s.expiry {
+		s.take(state)
+	}
+	for i := 0; i < maxStates; i++ {
+		s.put(key(i, 1), now)
+	}
+	if got := len(s.expiry); got != maxStates {
+		t.Fatalf("states after consume+flood = %d, want %d", got, maxStates)
+	}
+}