fix(auth): routed smart paste into focused prompts

- Intercepted the configured smart-paste shortcut while a paste-capable modal owns focus.
- Added regression coverage for Ctrl+V API-key entry and documented the fix.

Fixes #6057

packages/coding-agent/src/modes/controllers/input-controller.ts

@@ -172,6 +172,7 @@ export class InputController {
 
 	#enhancedPaste?: EnhancedPasteController;
 	#focusedLeftTapListenerInstalled = false;
+	#focusedPasteListenerInstalled = false;
 	#btwBranchListenerInstalled = false;
 	#btwCopyListenerInstalled = false;
 	// Tap counter for the double-← gesture; reset whenever a quiet gap
@@ -265,6 +266,16 @@ export class InputController {
 				return { consume: true };
 			});
 		}
+		if (!this.#focusedPasteListenerInstalled) {
+			this.#focusedPasteListenerInstalled = true;
+			this.ctx.ui.addInputListener(data => {
+				const focused = this.ctx.ui.getFocused();
+				if (!focused || focused === this.ctx.editor || !hasPasteText(focused)) return undefined;
+				if (!this.ctx.keybindings.matches(data, "app.clipboard.pasteImage")) return undefined;
+				void this.handleImagePaste();
+				return { consume: true };
+			});
+		}
 		this.ctx.editor.onEscape = () => {
 			// Side-channel panels are the topmost view. Esc dismisses them before
 			// touching loop mode, maintenance, or the underlying main turn.