fix #109765.

src/vs/workbench/contrib/terminal/browser/terminal.ts

@@ -422,6 +422,11 @@ export interface ITerminalInstance {
 	 */
 	notifyFindWidgetFocusChanged(isFocused: boolean): void;
 
+	/**
+	 * Notifies the terminal to refresh its focus state based on the active document elemnet in DOM
+	 */
+	refreshFocusState(): void;
+
 	/**
 	 * Focuses the terminal instance if it's able to (xterm.js instance exists).
 	 *

src/vs/workbench/contrib/terminal/browser/terminalInstance.ts

@@ -735,6 +735,10 @@ export class TerminalInstance extends Disposable implements ITerminalInstance {
 		this._terminalFocusContextKey.set(terminalFocused);
 	}
 
+	public refreshFocusState() {
+		this.notifyFindWidgetFocusChanged(false);
+	}
+
 	public dispose(immediate?: boolean): void {
 		this._logService.trace(`terminalInstance#dispose (id: ${this.id})`);
 

src/vs/workbench/contrib/terminal/browser/terminalView.ts

@@ -129,6 +129,9 @@ export class TerminalViewPane extends ViewPane {
 				}
 			} else {
 				this._terminalService.getActiveTab()?.setVisible(false);
+				this._terminalService.terminalInstances.forEach(instance => {
+					instance.notifyFindWidgetFocusChanged(false);
+				});
 			}
 		}));