### 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
int old_size = text_editor->get_theme_font_size(SNAME("font_size"));
	int new_size = CLAMP(old_size + p_delta, 8 * EDSCALE, 96 * EDSCALE);
	if (new_size != old_size) {
		EditorSettings::get_singleton()->set("interface/editor/code_font_size", new_size / EDSCALE);
		text_editor->add_theme_font_size_override("font_size", new_size);
	}
	return true;
}
void CodeTextEditor::update_editor_settings() {
	
	completion_font_color = EDITOR_GET("text_editor/theme/highlighting/completion_font_color");
	completion_string_color = EDITOR_GET("text_editor/theme/highlighting/string_color");
	completion_comment_color = EDITOR_GET("text_editor/theme/highlighting/comment_color");
	
	text_editor->set_caret_type((TextEdit::CaretType)EDITOR_GET("text_editor/appearance/caret/type").operator int());
	text_editor->set_caret_blink_enabled(EDITOR_GET("text_editor/appearance/caret/caret_blink"));
	text_editor->set_caret_blink_interval(EDITOR_GET("text_editor/appearance/caret/caret_blink_interval"));
	text_editor->set_highlight_current_line(EDITOR_GET("text_editor/appearance/caret/highlight_current_line"));
	text_editor->set_highlight_all_occurrences(EDITOR_GET("text_editor/appearance/caret/highlight_all_occurrences"));
	
	text_editor->set_draw_line_numbers(EDITOR_GET("text_editor/appearance/gutters/show_line_numbers"));
	text_editor->set_line_numbers_zero_padded(EDITOR_GET("text_editor/appearance/gutters/line_numbers_zero_padded"));
	text_editor->set_draw_bookmarks_gutter(EDITOR_GET("text_editor/appearance/gutters/show_bookmark_gutter"));
	
	text_editor->set_draw_minimap(EDITOR_GET("text_editor/appearance/minimap/show_minimap"));
	text_editor->set_minimap_width((int)EDITOR_GET("text_editor/appearance/minimap/minimap_width") * EDSCALE);