Keep relay sockets alive: enable pool ping + auto-reconnect

A silently dropped WebSocket (proxy idle timeout, network change) used
to kill every live subscription with nothing re-subscribing — device
sync stopped merging and the NWC service stopped answering until the
next reload. That is how a connection created on the phone stayed
invisible to an open laptop tab. The pool now pings every 29s (dummy-REQ
fallback in browsers) and reconnects with backoff, re-firing open
subscriptions from the last event seen.

Co-Authored-By: Claude Fable 5 <[email protected]>

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