feat: soundboard, account menu, and call timer

Soundboard: the trigger travels over the WebSocket and every client in the
call plays the clip locally, instead of mixing it into the presser's
microphone or publishing a LiveKit track. No upstream bandwidth, no media
stack changes, and the clip is not degraded by voice processing.

Fan-out uses a new sendToRoomParticipants rather than sendToRoom: the latter
broadcasts a space room to the whole space, which is right for the presence
the sidebar shows and wrong for anything audible. The cooldown is enforced
server-side — a client-side one only slows down people not trying to abuse it,
and a soundboard is the easiest thing here to turn into a weapon. Playing is
open to anyone in the call; deciding what the buttons are needs MANAGE_SPACE.

Account menu: the name in the user bar had cursor-pointer and no handler, so
the interface was already promising a click that did nothing. Offers profile,
status and copy-id — not the Clips or account switching the reference design
shows, which would be dead UI here.

Call timer: startedAt comes from the server, so a late joiner sees the call's
age rather than their own arrival. Empty space rooms are destroyed already,
which is what makes the next call start from zero — no reset logic needed.

packages/shared/src/types.ts

@@ -403,6 +403,7 @@ export type ClientEvent =
   | { type: 'typing_start'; channelId: string }
   | { type: 'presence_update'; status: 'online' | 'idle' | 'dnd' }
   | { type: 'voice_join'; channelId: string }
+  | { type: 'soundboard_play'; soundId: string }
   | { type: 'voice_leave' }
   | { type: 'dm_message_create'; dmChannelId: string; content?: string; attachments?: string[]; replyToId?: string }
   | { type: 'dm_typing_start'; dmChannelId: string }
@@ -426,13 +427,14 @@ export type ClientEvent =
 
 // Server → Client Events
 export type ServerEvent =
-  | { type: 'ready'; user: User; spaces: SpaceWithChannelsAndMembers[]; dmChannels: DmChannel[]; folders?: SpaceFolder[]; spaceLayout?: SpaceLayoutItem[] | null; layoutUpdatedAt?: number; voiceStates?: Record<string, string[]>; voiceUserStates?: Record<string, { isMuted: boolean; isDeafened: boolean; isCameraOn: boolean; isScreenSharing: boolean }>; readStates?: ReadState[]; activeCalls?: ActiveCallInfo[]; spaceVoiceStates?: Record<string, { spaceMuted: boolean; spaceDeafened: boolean }>; userActivities?: Record<string, Activity[]>; rejectedPeerOrigins?: string[]; awaitingApprovalPeerOrigins?: string[]; activePeerOrigins?: string[]; pendingApprovalCount?: number }
+  | { type: 'ready'; user: User; spaces: SpaceWithChannelsAndMembers[]; dmChannels: DmChannel[]; folders?: SpaceFolder[]; spaceLayout?: SpaceLayoutItem[] | null; layoutUpdatedAt?: number; voiceStates?: Record<string, string[]>; voiceRoomStarts?: Record<string, number>; voiceUserStates?: Record<string, { isMuted: boolean; isDeafened: boolean; isCameraOn: boolean; isScreenSharing: boolean }>; readStates?: ReadState[]; activeCalls?: ActiveCallInfo[]; spaceVoiceStates?: Record<string, { spaceMuted: boolean; spaceDeafened: boolean }>; userActivities?: Record<string, Activity[]>; rejectedPeerOrigins?: string[]; awaitingApprovalPeerOrigins?: string[]; activePeerOrigins?: string[]; pendingApprovalCount?: number }
   | { type: 'message_created'; message: MessageWithUser }
   | { type: 'message_updated'; message: MessageWithUser }
   | { type: 'message_deleted'; messageId: string; channelId: string }
   | { type: 'typing'; channelId: string; userId: string; username: string }
   | { type: 'presence_update'; userId: string; status: string; activities?: Activity[] }
-  | { type: 'voice_state_update'; channelId: string; userId: string; action: 'join' | 'leave' }
+  | { type: 'voice_state_update'; channelId: string; userId: string; action: 'join' | 'leave'; startedAt?: number }
+  | { type: 'soundboard_played'; soundId: string; userId: string; name: string; filename: string }
   | { type: 'member_joined'; spaceId: string; member: MemberWithUser }
   | { type: 'member_left'; spaceId: string; userId: string }
   | { type: 'dm_message_created'; message: DmMessageWithUser }
@@ -451,7 +453,7 @@ export type ServerEvent =
   | { type: 'dm_call_ended'; dmChannelId: string }
   | { type: 'dm_call_undeliverable'; dmChannelId: string | null; federatedCallId: string; terminal: boolean; phase: DmCallPhase; failures: DmCallUndeliverableFailure[] }
   | { type: 'voice_status_update'; userId: string; channelId: string; isMuted: boolean; isDeafened: boolean; isCameraOn: boolean; isScreenSharing: boolean }
-  | { type: 'space_voice_state'; spaceId: string; voiceStates: Record<string, string[]>; voiceUserStates: Record<string, { isMuted: boolean; isDeafened: boolean; isCameraOn: boolean; isScreenSharing: boolean }>; spaceVoiceStates: Record<string, { spaceMuted: boolean; spaceDeafened: boolean; permissionMuted: boolean }> }
+  | { type: 'space_voice_state'; spaceId: string; voiceStates: Record<string, string[]>; voiceRoomStarts?: Record<string, number>; voiceUserStates: Record<string, { isMuted: boolean; isDeafened: boolean; isCameraOn: boolean; isScreenSharing: boolean }>; spaceVoiceStates: Record<string, { spaceMuted: boolean; spaceDeafened: boolean; permissionMuted: boolean }> }
   | { type: 'dm_channel_created'; dmChannel: DmChannel }
   | { type: 'dm_channel_closed'; dmChannelId: string }
   | { type: 'dm_channel_updated'; dmChannelId: string; name: string | null; icon: string | null }