feat(browser-automation): add playwright-cli as browser automation provider

- Add playwright-cli to BrowserAutomationProviderSchema enum
- Add playwright-cli to BuiltinSkillNameSchema
- Create playwrightCliSkill with official Microsoft template
- Update skill selection logic to handle 3 providers
- Add comprehensive tests for schema and skill selection
- Regenerate JSON schema

Closes #<issue-number-if-any>

src/config/schema.test.ts

@@ -553,6 +553,18 @@ describe("BrowserAutomationProviderSchema", () => {
     // then
     expect(result.success).toBe(false)
   })
+
+  test("accepts 'playwright-cli' as valid provider", () => {
+    // given
+    const input = "playwright-cli"
+
+    // when
+    const result = BrowserAutomationProviderSchema.safeParse(input)
+
+    // then
+    expect(result.success).toBe(true)
+    expect(result.data).toBe("playwright-cli")
+  })
 })
 
 describe("BrowserAutomationConfigSchema", () => {
@@ -577,6 +589,17 @@ describe("BrowserAutomationConfigSchema", () => {
     // then
     expect(result.provider).toBe("agent-browser")
   })
+
+  test("accepts playwright-cli provider in config", () => {
+    // given
+    const input = { provider: "playwright-cli" }
+
+    // when
+    const result = BrowserAutomationConfigSchema.parse(input)
+
+    // then
+    expect(result.provider).toBe("playwright-cli")
+  })
 })
 
 describe("OhMyOpenCodeConfigSchema - browser_automation_engine", () => {
@@ -607,6 +630,18 @@ describe("OhMyOpenCodeConfigSchema - browser_automation_engine", () => {
     expect(result.success).toBe(true)
     expect(result.data?.browser_automation_engine).toBeUndefined()
   })
+
+  test("accepts browser_automation_engine with playwright-cli", () => {
+    // given
+    const input = { browser_automation_engine: { provider: "playwright-cli" } }
+
+    // when
+    const result = OhMyOpenCodeConfigSchema.safeParse(input)
+
+    // then
+    expect(result.success).toBe(true)
+    expect(result.data?.browser_automation_engine?.provider).toBe("playwright-cli")
+  })
 })
 
 describe("ExperimentalConfigSchema feature flags", () => {