refactor: standardize AI acronym to Ai (PascalCase) across internal identifiers (#19837)

## Summary

The "AI" acronym was rendered inconsistently across the codebase. The
backend AI module had settled on PascalCase `Ai` (`AiAgentModule`,
`AiBillingService`, `AiChatModule`, `AiModelRegistryService`, etc.),
while frontend components, several DTOs, a few types, and shared
identifiers still used all-caps `AI` (`AIChatTab`,
`AISystemPromptPreviewDTO`, `SettingsPath.AIPrompts`, ...). CLAUDE.md
specifies PascalCase for classes; this PR normalizes everything internal
to `Ai`.

**This is a pure internal rename.** The GraphQL schema is untouched —
`@ObjectType` decorator string arguments, resolver method names (which
become Query/Mutation field names), gql template contents, and the
`generated-metadata/graphql.ts` file are preserved verbatim. The only
visible change is TypeScript identifiers and file names.

## Also folded in (adjacent cleanups)

- **`AgentModelConfigService` → `AiModelConfigService`**. Lives in
`ai-models/` and is used by multiple AI code paths, not just the Agent
entity. The "Agent" prefix was misleading.
- **`generate-text-input.dto.ts` → `generate-text.input.ts`**. The
`ai-agent/dtos/` folder already uses `<entity>.input.ts` convention for
Input classes (`create-agent.input.ts` etc.); the old path mixed
`.dto.ts` file extension with a class that has no DTO suffix. File
rename only; class stays `GenerateTextInput`.
- **Removed stale TODO** in `ai-model-config.type.ts` that asked for the
`AiModelConfig` rename that this PR performs.

## Rename methodology

Bulk rename via perl with anchored regex
`(?<!['"])(?<![A-Z.])AI([A-Z])(?=[a-z])/Ai$1/g`:

- **Lookbehind for non-uppercase** skips adjacent acronyms (`MOSAIC`,
`OIDCSSO`) and leaves `AIRBNB_ID` alone.
- **Lookbehind for non-quote** protects most string literals.
- **Lookahead for lowercase** restricts matches to PascalCase
identifiers (`AIChatTab`), leaving SCREAMING_SNAKE constants untouched.

Strict file-scope exclusions: `generated-metadata/**`, `generated/**`,
`locales/**`, `migrations/**`, `illustrations/**`, `halftone/**`, and
the two gql template files (`queries/getAISystemPromptPreview.ts`,
`mutations/uploadAIChatFile.ts`).

Post-rename reverts for identifiers where the regex was too eager:
- Backend resolver method names kept: `getAISystemPromptPreview`,
`uploadAIChatFile` (they are GraphQL field names).
- `@ObjectType('AdminAIModels')` / `('AISystemPromptPreview')` /
`('AISystemPromptSection')` kept as-is.
- Backend classes `ClientAIModelConfig` / `AdminAIModelConfig` kept
as-is (they use `@ObjectType()` with no argument, so the class name IS
the schema name).
- External-library symbols restored: `OpenAIProvider`,
`createOpenAICompatible`, `vercelAIIntegration`.

File renames use a two-step rename to work on macOS case-insensitive
filesystems: `git mv X.tsx X.tsx.tmp && git mv X.tsx.tmp renamed.tsx`.

## Diff audit

- 0 changes to migrations
- 0 changes to locale `.po` / `.ts` files
- 0 changes to `generated-metadata/graphql.ts`
- 0 changes to website illustration files (base64 blobs preserved)
- 0 renames inside user-facing translation strings (`t\`…\``,
`msg\`…\``, `<Trans>…</Trans>`)

## Test plan

- [x] `npx nx typecheck twenty-server` — PASS
- [x] `npx nx typecheck twenty-front` — PASS
- [x] `npx jest ai-model admin agent-role` — 79/79 PASS
- [x] `npx oxlint --type-aware` on 118 changed files — 0 errors
- [x] `npx prettier --check` on 118 changed files — clean
- [ ] CI

packages/twenty-server/src/engine/core-modules/client-config/client-config.entity.ts

@@ -39,7 +39,7 @@ export class NativeModelCapabilities {
 }
 
 @ObjectType()
-export class ClientAIModelConfig {
+export class ClientAiModelConfig {
   @Field(() => String)
   // Composite model id (`provider/modelName`) for this workspace; matches registry and admin APIs.
   modelId: ModelId;
@@ -88,7 +88,7 @@ export class ClientAIModelConfig {
 }
 
 @ObjectType()
-export class AdminAIModelConfig {
+export class AdminAiModelConfig {
   @Field(() => String)
   // Composite model id (`provider/modelName`) used for toggles, defaults, and registry lookups.
   modelId: string;
@@ -143,10 +143,10 @@ export class AdminAIModelConfig {
   dataResidency?: string;
 }
 
-@ObjectType('AdminAIModels')
-export class AdminAIModelsDTO {
-  @Field(() => [AdminAIModelConfig])
-  models: AdminAIModelConfig[];
+@ObjectType('AdminAiModels')
+export class AdminAiModelsDTO {
+  @Field(() => [AdminAiModelConfig])
+  models: AdminAiModelConfig[];
 
   @Field(() => String, { nullable: true })
   // Composite model id for the default “smart” role (`provider/modelName`).
@@ -249,8 +249,8 @@ export class ClientConfig {
   @Field(() => Billing, { nullable: false })
   billing: Billing;
 
-  @Field(() => [ClientAIModelConfig])
-  aiModels: ClientAIModelConfig[];
+  @Field(() => [ClientAiModelConfig])
+  aiModels: ClientAiModelConfig[];
 
   @Field(() => Boolean)
   signInPrefilled: boolean;

packages/twenty-server/src/engine/core-modules/client-config/services/client-config.service.ts

@@ -14,7 +14,7 @@ import { SupportDriver } from 'src/engine/core-modules/twenty-config/interfaces/
 
 import { MaintenanceModeService } from 'src/engine/core-modules/admin-panel/maintenance-mode.service';
 import {
-  type ClientAIModelConfig,
+  type ClientAiModelConfig,
   type ClientConfig,
   type NativeModelCapabilities,
 } from 'src/engine/core-modules/client-config/client-config.entity';
@@ -76,7 +76,7 @@ export class ClientConfigService {
         ? (resolvedProviders[providerName]?.label ?? providerName)
         : undefined;
 
-    const aiModels: ClientAIModelConfig[] = availableModels.map(
+    const aiModels: ClientAiModelConfig[] = availableModels.map(
       (registeredModel) => {
         const modelConfig = this.aiModelRegistryService.getModelConfig(
           registeredModel.modelId,