debug(relay): log per-assembler relay count on invalidation

After fixing the stale connected-count, the background footprint settles
at ~25 relays (desired=22) — higher than the inbox+DM target. Add a
per-EoseManager log (assembler name -> key count + distinct relay count)
so we can attribute the 25 to specific always-on loaders (metadata/drafts
on homeRelays, gift-wrap history, marmot groups, notifications) and trim
precisely instead of guessing.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Ukw6FJPFh3JKGXL532p3ae

commons/src/commonMain/kotlin/com/vitorpamplona/amethyst/commons/relayClient/eoseManagers/BaseEoseManager.kt

@@ -22,6 +22,7 @@ package com.vitorpamplona.amethyst.commons.relayClient.eoseManagers
 
 import com.vitorpamplona.amethyst.commons.service.BundledUpdate
 import com.vitorpamplona.quartz.nip01Core.relay.client.INostrClient
+import com.vitorpamplona.quartz.utils.Log
 import com.vitorpamplona.quartz.nip01Core.relay.client.reqs.SubscriptionListener
 import com.vitorpamplona.quartz.nip01Core.relay.client.single.newSubId
 import com.vitorpamplona.quartz.nip01Core.relay.client.subscriptions.SubscriptionController
@@ -53,6 +54,7 @@ abstract class BaseEoseManager<T>(
     fun forceInvalidate() {
         updateSubscriptions(allKeys())
         orchestrator.updateRelays()
+        Log.d("BgRelayTrace") { "${this::class.simpleName} — keys=${allKeys().size}, relays=${orchestrator.activeRelays().size}" }
     }
 
     override fun destroy() {

quartz/src/commonMain/kotlin/com/vitorpamplona/quartz/nip01Core/relay/client/subscriptions/SubscriptionController.kt

@@ -51,6 +51,13 @@ class SubscriptionController(
 
     fun getSub(subId: String) = subscriptions.get(subId)
 
+    /** Distinct relays across all active subscriptions managed by this controller. */
+    fun activeRelays(): Set<NormalizedRelayUrl> {
+        val relays = mutableSetOf<NormalizedRelayUrl>()
+        subscriptions.forEach { _, sub -> sub.filters()?.keys?.let { relays.addAll(it) } }
+        return relays
+    }
+
     fun requestNewSubscription(
         subId: String,
         listener: SubscriptionListener,