feat: limit concurrent chat agents with pooled admission (#27902)

Limits concurrent chat generation on capped deployments to 5 root chats
and 10 delegated subagent chats. The pools are deployment-wide and
independent, so delegated work can continue while root capacity is full.

The default caps live in AGPL code. Enterprise contributes only a
licensing unlock, so unlicensed deployments stay capped and cannot fail
open. Licensed deployments are uncapped while Agent Hours usage stays
below an explicit hard limit. Deployments without a hard limit remain
uncapped, and reaching the Agent Hours allocation only triggers
warnings.

Admission happens before a worker takes chat ownership. Capped
deployments serialize admission across replicas with a
transaction-scoped advisory lock and derive active and queued state from
current ownership plus fresh runner heartbeats, rather than persisted
queue markers or per-replica state. The acquisition query returns a
bounded, pool-interleaved candidate set instead of ranking the whole
backlog; a migration replaces the acquisition index with a pool-aware
one. Refused chats stay running but unowned, and interrupt requests
bypass admission so users can stop queued or over-cap chats.

The single-chat API derives `queued_for_capacity` from live pool state;
list endpoints do not report it. The UI polls that value every 5 seconds
while a chat is running and shows a callout when the chat is waiting for
capacity.

Updates the administrator documentation and deployment-wide Prometheus
gauges for active and queued agents. Replica-level values must be
aggregated with `max`, not `sum`.

> Mux updated this PR on Mike's behalf.

coderd/database/lock.go

@@ -17,6 +17,7 @@ const (
 	LockIDBoundaryUsageStats
 	LockIDAIProvidersEnvSeed
 	LockIDChatModelConfigWrites
+	LockIDChatCapacityAdmission
 )
 
 // GenLockID generates a unique and consistent lock ID from a given string.