Remove TypeScript path mappings in favor of relative imports

Fixes https://github.com/xtermjs/xterm.js/issues/5896

TypeScript path mappings for common/*, browser/*, and headless/*
were not rewritten in emitted JavaScript, which forced webpack resolve
aliases and NODE_PATH workarounds so runtime could resolve modules.
That added build complexity and broke tooling such as ESLint import/no-cycle.

Changes:
- Convert ~750 imports across src/, addons/, and test/ to relative paths
- Remove common/browser/headless paths and src catch-all mappings from tsconfigs
  (keep @xterm/addon-* demo and addon typings paths)
- Remove webpack resolve.alias for common, browser, headless, and vs
- Drop NODE_PATH from unit tests, benchmarks, and VS Code launch config
- Fix addon-image IIPImageStorage to import ./Types after removing catch-all *

Verified: npm run build, esbuild, package, package-headless
Co-authored-by: Cursor <cursoragent@cursor.com>

src/browser/scrollable/abstractScrollbar.ts

@@ -11,7 +11,7 @@ import { ScrollbarArrow, IScrollbarArrowOptions } from './scrollbarArrow';
 import { ScrollbarState } from './scrollbarState';
 import { ScrollbarVisibilityController } from './scrollbarVisibilityController';
 import { Widget } from './widget';
-import * as platform from 'common/Platform';
+import * as platform from '../../common/Platform';
 import { INewScrollPosition, Scrollable, ScrollbarVisibility } from './scrollable';
 
 /**

src/browser/scrollable/globalPointerMoveMonitor.ts

@@ -4,7 +4,7 @@
  *--------------------------------------------------------------------------------------------*/
 
 import * as dom from '../Dom';
-import { DisposableStore, IDisposable, toDisposable } from 'common/Lifecycle';
+import { DisposableStore, IDisposable, toDisposable } from '../../common/Lifecycle';
 
 type PointerMoveCallback = (event: PointerEvent) => void;
 type OnStopCallback = () => void;

src/browser/scrollable/mouseEvent.ts

@@ -3,7 +3,7 @@
  *  Licensed under the MIT License. See License.txt in the project root for license information.
  *--------------------------------------------------------------------------------------------*/
 
-import * as platform from 'common/Platform';
+import * as platform from '../../common/Platform';
 
 interface IWindowChainElement {
   readonly window: WeakRef<Window>;

src/browser/scrollable/scrollable.ts

@@ -3,8 +3,8 @@
  *  Licensed under the MIT License. See License.txt in the project root for license information.
  *--------------------------------------------------------------------------------------------*/
 
-import { Emitter, IEvent } from 'common/Event';
-import { Disposable, IDisposable } from 'common/Lifecycle';
+import { Emitter, IEvent } from '../../common/Event';
+import { Disposable, IDisposable } from '../../common/Lifecycle';
 
 export const enum ScrollbarVisibility {
   AUTO = 1,

src/browser/scrollable/scrollableElement.ts

@@ -11,10 +11,10 @@ import { HorizontalScrollbar } from './horizontalScrollbar';
 import { IScrollableElementChangeOptions, IScrollableElementCreationOptions, IScrollableElementResolvedOptions } from './scrollableElementOptions';
 import { VerticalScrollbar } from './verticalScrollbar';
 import { Widget } from './widget';
-import { TimeoutTimer } from 'common/Async';
-import { Emitter, IEvent } from 'common/Event';
-import { IDisposable, dispose } from 'common/Lifecycle';
-import * as platform from 'common/Platform';
+import { TimeoutTimer } from '../../common/Async';
+import { Emitter, IEvent } from '../../common/Event';
+import { IDisposable, dispose } from '../../common/Lifecycle';
+import * as platform from '../../common/Platform';
 import { INewScrollDimensions, INewScrollPosition, IScrollDimensions, IScrollPosition, IScrollEvent, Scrollable, ScrollbarVisibility } from './scrollable';
 // import 'vs/css!./media/scrollbars';
 

src/browser/scrollable/scrollbarArrow.ts

@@ -5,7 +5,7 @@
 
 import { GlobalPointerMoveMonitor } from './globalPointerMoveMonitor';
 import { Widget } from './widget';
-import { TimeoutTimer } from 'common/Async';
+import { TimeoutTimer } from '../../common/Async';
 import * as dom from '../Dom';
 
 export interface IScrollbarArrowOptions {

src/browser/scrollable/scrollbarVisibilityController.ts

@@ -4,8 +4,8 @@
  *--------------------------------------------------------------------------------------------*/
 
 import { FastDomNode } from './fastDomNode';
-import { TimeoutTimer } from 'common/Async';
-import { Disposable } from 'common/Lifecycle';
+import { TimeoutTimer } from '../../common/Async';
+import { Disposable } from '../../common/Lifecycle';
 import { ScrollbarVisibility } from './scrollable';
 
 export class ScrollbarVisibilityController extends Disposable {

src/browser/scrollable/touch.ts

@@ -4,7 +4,7 @@
  *--------------------------------------------------------------------------------------------*/
 
 import * as DomUtils from '../Dom';
-import { Disposable, IDisposable, toDisposable } from 'common/Lifecycle';
+import { Disposable, IDisposable, toDisposable } from '../../common/Lifecycle';
 
 const mainWindow = (typeof window === 'object' ? window : globalThis) as Window & typeof globalThis;
 

src/browser/scrollable/widget.ts

@@ -5,7 +5,7 @@
 
 import * as dom from '../Dom';
 import { IMouseEvent, StandardMouseEvent } from './mouseEvent';
-import { Disposable } from 'common/Lifecycle';
+import { Disposable } from '../../common/Lifecycle';
 
 export abstract class Widget extends Disposable {