chore: patch project maps after stale backend test cleanup

Regenerate .pi-map*.md artifacts for source changes in:
- apps/api/src/api/tool/tool_types_validation.py
- apps/api/src/schemas/tool/tool_type.py
- apps/api/tests/integration/test_tool_types_api_extended.py
- and all affected test files from backend-frontend refactoring cleanup

e2e/.pi-map.index.md

@@ -2,7 +2,7 @@
 dir: e2e
 
 ## role
-Provides automated end-to-end browser testing for the headquarter application using Playwright.
+End-to-end testing package for the "headquarter" project using Playwright to validate full application workflows across multiple browsers.
 ## parent
 index: ./.pi-map.index.md
 map: ./.pi-map.md

e2e/.pi-map.md

@@ -4,12 +4,12 @@ dir: e2e
 index: e2e/.pi-map.index.md
 
 ## role
-Provides automated end-to-end browser testing for the headquarter application using Playwright.
+End-to-end testing package for the "headquarter" project using Playwright to validate full application workflows across multiple browsers.
 ## files
 - package.json | Defines an end-to-end testing package for a "headquarter" project using Playwright | dep: @playwright/test
 - playwright.config.ts | Configures Playwright test runner with parallel execution, CI-specific settings, and multi-browser project definitions. | dep: @playwright/test
 ## arch
-Test automation framework with parallel execution, CI-optimized configuration, and cross-browser testing matrix (Chromium/Firefox/WebKit).
+Standard Playwright testing architecture with configuration-driven parallel test execution, CI-optimized settings, and multi-browser project matrix (Chromium/Firefox/WebKit) for cross-browser compatibility testing.
 ## tags
 package, test, end, project, playwright, @playwright, playwright.config, defines
 ## symbols

e2e/tests/.pi-map.index.md

@@ -2,7 +2,7 @@
 dir: e2e/tests
 
 ## role
-End-to-end test suite for authentication flows using Playwright
+End-to-end testing suite for authentication flows using Playwright.
 ## parent
 index: e2e/.pi-map.index.md
 map: e2e/.pi-map.md

e2e/tests/.pi-map.md

@@ -4,11 +4,11 @@ dir: e2e/tests
 index: e2e/tests/.pi-map.index.md
 
 ## role
-End-to-end test suite for authentication flows using Playwright
+End-to-end testing suite for authentication flows using Playwright.
 ## files
 - login.spec.ts | End-to-end tests for authentication flow using Playwright, verifying login page accessibility, OAuth redirect behavior, and protected route enforcement. | dep: @playwright/test
 ## arch
-Specification-style testing with Playwright page object model, covering OAuth redirect flows and route protection guards
+Spec-based test organization with Playwright test runner, following page-object pattern for browser automation and scenario-based test isolation.
 ## tags
 end, login.spec, tests, authentication, flow, playwright, verifying, login
 ## symbols