feat(profile): advertise per-variant dictionary versions for offline preload

The Profile now carries dict_versions (game variant -> current dictionary
version), populated from the dictionary registry at the profileResponse
choke point, so an installed PWA can preload the matching dawg per enabled
variant off the existing cold-start profile request instead of adding a
round-trip for a rare feature.

Wire path: FBS DictVersion table + Profile.dict_versions (additive,
backward-compatible trailing field) -> backend dto/registry -> gateway
ProfileResp + FBS encoder -> client codec decode into a per-variant map on
model.Profile. Empty in a degenerate no-dictionary deployment; the mock
serves v1.3.0 for all three variants. Codec decode covered by a
bite-tested round-trip unit test.

ui/src/gen/fbs/scrabblefb/profile.ts

@@ -3,6 +3,7 @@
 import * as flatbuffers from 'flatbuffers';
 
 import { BannerInfo } from '../scrabblefb/banner-info.js';
+import { DictVersion } from '../scrabblefb/dict-version.js';
 
 
 export class Profile {
@@ -124,8 +125,18 @@ vkLinked():boolean {
   return offset ? !!this.bb!.readInt8(this.bb_pos + offset) : false;
 }
 
+dictVersions(index: number, obj?:DictVersion):DictVersion|null {
+  const offset = this.bb!.__offset(this.bb_pos, 36);
+  return offset ? (obj || new DictVersion()).__init(this.bb!.__indirect(this.bb!.__vector(this.bb_pos + offset) + index * 4), this.bb!) : null;
+}
+
+dictVersionsLength():number {
+  const offset = this.bb!.__offset(this.bb_pos, 36);
+  return offset ? this.bb!.__vector_len(this.bb_pos + offset) : 0;
+}
+
 static startProfile(builder:flatbuffers.Builder) {
-  builder.startObject(16);
+  builder.startObject(17);
 }
 
 static addUserId(builder:flatbuffers.Builder, userIdOffset:flatbuffers.Offset) {
@@ -204,6 +215,22 @@ static addVkLinked(builder:flatbuffers.Builder, vkLinked:boolean) {
   builder.addFieldInt8(15, +vkLinked, +false);
 }
 
+static addDictVersions(builder:flatbuffers.Builder, dictVersionsOffset:flatbuffers.Offset) {
+  builder.addFieldOffset(16, dictVersionsOffset, 0);
+}
+
+static createDictVersionsVector(builder:flatbuffers.Builder, data:flatbuffers.Offset[]):flatbuffers.Offset {
+  builder.startVector(4, data.length, 4);
+  for (let i = data.length - 1; i >= 0; i--) {
+    builder.addOffset(data[i]!);
+  }
+  return builder.endVector();
+}
+
+static startDictVersionsVector(builder:flatbuffers.Builder, numElems:number) {
+  builder.startVector(4, numElems, 4);
+}
+
 static endProfile(builder:flatbuffers.Builder):flatbuffers.Offset {
   const offset = builder.endObject();
   return offset;