Move proxy name/avatar logic to the bot itself

PluralKit.Core/Database/Functions/ProxyMember.cs

@@ -11,7 +11,20 @@ namespace PluralKit.Core
         public int Id { get; set; }
         public IReadOnlyCollection<ProxyTag> ProxyTags { get; set; } = new ProxyTag[0];
         public bool KeepProxy { get; set; }
-        public string ProxyName { get; set; } = "";
-        public string? ProxyAvatar { get; set; }
+        
+        public string? ServerName { get; set; }
+        public string? DisplayName { get; set; }
+        public string Name { get; set; } = "";
+        public string? SystemTag { get; set; }
+        
+        public string? ServerAvatar { get; set; }
+        public string? Avatar { get; set; }
+        public string? SystemIcon { get; set; }
+
+        public string ProxyName => SystemTag != null
+            ? $"{ServerName ?? DisplayName ?? Name} {SystemTag}"
+            : ServerName ?? DisplayName ?? Name;
+
+        public string? ProxyAvatar => ServerAvatar ?? Avatar ?? SystemIcon;
     }
 }

PluralKit.Core/Database/Functions/functions.sql

@@ -49,8 +49,15 @@ create function proxy_members(account_id bigint, guild_id bigint)
         id int,
         proxy_tags proxy_tag[],
         keep_proxy bool,
-        proxy_name text,
-        proxy_avatar text
+        
+        server_name text,
+        display_name text,
+        name text,
+        system_tag text,
+        
+        server_avatar text,
+        avatar text,
+        system_icon text
     )
 as $$
     select
@@ -59,12 +66,16 @@ as $$
         members.proxy_tags as proxy_tags,
         members.keep_proxy as keep_proxy,
     
-        -- Proxy info
-        case
-            when systems.tag is not null then (coalesce(member_guild.display_name, members.display_name, members.name) || ' ' || systems.tag) 
-            else coalesce(member_guild.display_name, members.display_name, members.name)
-        end as proxy_name,
-        coalesce(member_guild.avatar_url, members.avatar_url, systems.avatar_url) as proxy_avatar
+        -- Name info
+        member_guild.display_name as server_name,
+        members.display_name as display_name,
+        members.name as name,
+        systems.tag as system_tag,
+        
+        -- Avatar info
+        member_guild.avatar_url as server_avatar,
+        members.avatar_url as avatar,
+        systems.avatar_url as system_icon
     from accounts
         inner join systems on systems.id = accounts.system
         inner join members on members.system = systems.id