fix(skills): Fix skill tagging inconsistency between $ and / across providers

apps/server/src/provider/Layers/ClaudeProvider.ts

@@ -34,6 +34,7 @@ import {
 } from "../providerSnapshot.ts";
 import { compareCliVersions } from "../cliVersion.ts";
 import { makeClaudeEnvironment } from "../Drivers/ClaudeHome.ts";
+import { claudeSlashCommandsAsProviderSkills } from "../claudeSlashCommandsAsProviderSkills.ts";
 
 const DEFAULT_CLAUDE_MODEL_CAPABILITIES: ModelCapabilities = createModelCapabilities({
   optionDescriptors: [],
@@ -622,6 +623,7 @@ export const checkClaudeProviderStatus = Effect.fn("checkClaudeProviderStatus")(
     : undefined;
   const slashCommands = capabilities?.slashCommands ?? [];
   const dedupedSlashCommands = dedupeSlashCommands(slashCommands);
+  const skillsFromSlashCommands = claudeSlashCommandsAsProviderSkills(dedupedSlashCommands);
 
   if (!capabilities) {
     return buildServerProvider({
@@ -630,6 +632,7 @@ export const checkClaudeProviderStatus = Effect.fn("checkClaudeProviderStatus")(
       checkedAt,
       models,
       slashCommands: dedupedSlashCommands,
+      skills: skillsFromSlashCommands,
       probe: {
         installed: true,
         version: parsedVersion,
@@ -650,6 +653,7 @@ export const checkClaudeProviderStatus = Effect.fn("checkClaudeProviderStatus")(
     checkedAt,
     models,
     slashCommands: dedupedSlashCommands,
+    skills: skillsFromSlashCommands,
     probe: {
       installed: true,
       version: parsedVersion,

apps/server/src/provider/claudeSlashCommandsAsProviderSkills.test.ts

@@ -0,0 +1,34 @@
+import { describe, expect, it } from "vitest";
+
+import { claudeSlashCommandsAsProviderSkills } from "./claudeSlashCommandsAsProviderSkills.ts";
+
+describe("claudeSlashCommandsAsProviderSkills", () => {
+  it("maps slash commands to skills with stable synthetic paths", () => {
+    const skills = claudeSlashCommandsAsProviderSkills([
+      { name: "frontend-design", description: "UI help" },
+      { name: "gh-fix-ci", input: { hint: "[pr-url]" } },
+    ]);
+    expect(skills).toHaveLength(2);
+    expect(skills[0]).toMatchObject({
+      name: "frontend-design",
+      enabled: true,
+      scope: "claude-agent",
+      description: "UI help",
+      shortDescription: "UI help",
+      path: "claude-agent:///slash-command/frontend-design",
+    });
+    expect(skills[1]).toMatchObject({
+      name: "gh-fix-ci",
+      enabled: true,
+      scope: "claude-agent",
+      shortDescription: "[pr-url]",
+      path: "claude-agent:///slash-command/gh-fix-ci",
+    });
+  });
+
+  it("encodes command names in the path", () => {
+    const [skill] = claudeSlashCommandsAsProviderSkills([{ name: "a:b" }]);
+    expect(skill?.path).toBe("claude-agent:///slash-command/a%3Ab");
+    expect(skill?.name).toBe("a:b");
+  });
+});

apps/server/src/provider/claudeSlashCommandsAsProviderSkills.ts

@@ -0,0 +1,24 @@
+import type { ServerProviderSlashCommand, ServerProviderSkill } from "@t3tools/contracts";
+
+/**
+ * Claude reports capabilities as slash commands from SDK init. The composer
+ * `$` picker reads {@link ServerProviderSkill}; mirror the same inventory so
+ * `$` works for Claude the way Codex does with `skills/list`.
+ */
+export function claudeSlashCommandsAsProviderSkills(
+  commands: ReadonlyArray<ServerProviderSlashCommand>,
+): ReadonlyArray<ServerProviderSkill> {
+  return commands.map((command) => {
+    const hint = command.input?.hint?.trim();
+    const desc = command.description?.trim();
+    const shortDescription = hint ?? desc;
+    return {
+      name: command.name,
+      path: `claude-agent:///slash-command/${encodeURIComponent(command.name)}`,
+      enabled: true,
+      scope: "claude-agent",
+      ...(desc ? { description: desc } : {}),
+      ...(shortDescription ? { shortDescription } : {}),
+    } satisfies ServerProviderSkill;
+  });
+}