### Godot version

v4.0.beta14.official

### System information

Windows 11 22H2

### Issue description

There's not much to it, simply noticed that if you have Find or Find+Replace opened in the Script Editor, the Multi-Caret functionality seems to stop working -- forcibly removing all other carets after the first character is typed. I'd expect the Multi-Caret to remain until unselected by clicking elsewhere.

The content of what's in "Find" doesn't matter, it happens regardless.

https://user-images.githubusercontent.com/8159582/214234069-cbcc1681-3f09-4b10-9a90-857cc91d41a7.mp4



### Steps to reproduce

1. Open the Find or Find+Replace tool in the Script Editor _(nothing has to be inputted)_
2. Add multiple mouse cursors with Ctrl+Alt+Click **OR** highlight something and then highlight additional duplicates with Ctrl+D _(or synonymous keyboard shortcuts depending on OS)_.
3. Start typing as if going to add or replace in all locations where the multi-caret is

### Minimal reproduction project

N/A
ftrs[TS->name_to_tag("calt")] = 1;
				fc->set_opentype_features(ftrs);
			} break;
		}
	}
	text_editor->set_draw_line_numbers(true);
	text_editor->set_highlight_matching_braces_enabled(true);
	text_editor->set_auto_indent_enabled(true);
	text_editor->set_deselect_on_focus_loss_enabled(false);
	status_bar = memnew(HBoxContainer);
	add_child(status_bar);
	status_bar->set_h_size_flags(SIZE_EXPAND_FILL);
	status_bar->set_custom_minimum_size(Size2(0, 24 * EDSCALE)); 
	idle = memnew(Timer);
	add_child(idle);
	idle->set_one_shot(true);
	idle->set_wait_time(EDITOR_GET("text_editor/completion/idle_parse_delay"));
	code_complete_timer = memnew(Timer);
	add_child(code_complete_timer);
	code_complete_timer->set_one_shot(true);
	code_complete_timer->set_wait_time(EDITOR_GET("text_editor/completion/code_complete_delay"));
	error_line = 0;
	error_column = 0;
	toggle_scripts_button = memnew(Button);
	toggle_scripts_button->set_flat(true);
	toggle_scripts_button->connect("pressed", callable_mp(this, &CodeTextEditor::_toggle_scripts_pressed));
	status_bar->add_child(toggle_scripts_button);
	toggle_scripts_button->hide();
	
	ScrollContainer *scroll = memnew(ScrollContainer);