feat: implement authenticated NAT mediator (#11)

Closes #11

docs/architecture/0009-authenticated-litenet-nat-mediator.md

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+# ADR 0009: authenticated bounded LiteNetLib NAT mediator
+
+- Status: Accepted
+- Date: 2026-07-16
+- Tracking: #11
+
+## Decision
+
+The server owns one LiteNetLib `NetManager` and its `NatPunchModule` on the
+configured UDP endpoint. It runs in manual mode with a configured maximum number
+of datagrams per poll and a short caller-owned poll interval. LiteNetLib events
+are unsynchronized so authenticated requests are processed immediately on that
+single polling path rather than accumulated in an unbounded event queue. The
+mediator never accepts a LiteNetLib gameplay connection or handles application
+payloads.
+
+The packet layer also consumes the frozen v1 presence envelope on the same
+socket. Native NAT requests use a canonical fixed-size 192-character token that
+binds a role (`HostPresence`, attempt `Host`, or attempt `Client`), mediation
+handle, and the already-issued capability. Both transports enter one processor
+and the same atomic store operations. No transport-supplied public address is
+trusted; the socket source is authoritative.
+
+LiteNetLib's native NAT packet family also contains introduction-response and
+punch frames that are appropriate for peers but unsafe on a public mediator: a
+forged response can name arbitrary destinations. The packet layer therefore
+decodes only the pinned `NatIntroduceRequest` wire shape and consumes every
+inbound packet before `NatPunchModule` sees it. The module is outbound-only and
+may send introductions solely from a completed authorized plan.
+
+Listing presence refreshes authorize no response. Attempt contributions bind the
+first observed endpoint for exactly one capability role. Exact duplicates are
+idempotent; a different endpoint, the opposite role, an expired/cancelled
+attempt, or a stale listing presence cannot replace it. The introduction is
+consumed atomically only after both roles bind and their observed address
+families match, preventing concurrent attempts for one listing from cross-wiring.
+
+A reported local candidate is eligible only when it is RFC 1918 IPv4 or IPv6
+unique-local unicast, matches the observed family, and both peers have the same
+observed public address. Otherwise `NatIntroduce` receives the observed public
+endpoint in the local slot. Loopback, link-local, multicast, unspecified,
+documentation IPv6, global-address claims, and cross-family claims are never
+disclosed as local targets. IPv4 is required; observed global IPv6 can be used
+when both peers contribute IPv6, without claiming guaranteed IPv6 NAT traversal.
+
+The introduction carries only the distinct connection ticket and is emitted at
+most once to each verified observed endpoint. The fixed authenticated native
+request and bounded frozen envelope keep the combined response bytes within the
+2.0 verified amplification budget; unauthenticated inputs receive zero bytes.
+Malformed, truncated, oversized, spoofed, or unrelated LiteNetLib packets do not
+grow Rendezvous state. Raw endpoints and credentials are never logged or exposed
+through diagnostic string representations.
+
+Frozen IPv6 listing-presence refresh remains valid because it emits no response.
+IPv6 attempt roles require the fixed-size native LiteNetLib request; accepting the
+short frozen envelope would exceed the 2.0 byte budget for two IPv6 introduction
+frames. The required IPv4 listen address and optional IPv6 listen address are
+configured separately so enabling one family never widens the other family to a
+wildcard bind.
+
+## Consequences
+
+- Hosts refresh listing presence and answer invitations from their actual
+  gameplay socket; a separate mediator socket would observe the wrong mapping.
+- Caller-owned SDK coordination in #12 must poll the host invitation endpoint,
+  send the corresponding native role token, and consume the returned ticket.
+- UDP loss can prevent traversal, but it cannot cause an arbitrary destination,
+  replay, role substitution, or cross-attempt introduction.