### 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
text_editor->set_line_folding_enabled(EDITOR_GET("text_editor/appearance/lines/code_folding"));
	text_editor->set_draw_fold_gutter(EDITOR_GET("text_editor/appearance/lines/code_folding"));
	text_editor->set_line_wrapping_mode((TextEdit::LineWrappingMode)EDITOR_GET("text_editor/appearance/lines/word_wrap").operator int());
	
	text_editor->set_draw_tabs(EDITOR_GET("text_editor/appearance/whitespace/draw_tabs"));
	text_editor->set_draw_spaces(EDITOR_GET("text_editor/appearance/whitespace/draw_spaces"));
	
	text_editor->set_scroll_past_end_of_file_enabled(EDITOR_GET("text_editor/behavior/navigation/scroll_past_end_of_file"));
	text_editor->set_smooth_scroll_enabled(EDITOR_GET("text_editor/behavior/navigation/smooth_scrolling"));
	text_editor->set_v_scroll_speed(EDITOR_GET("text_editor/behavior/navigation/v_scroll_speed"));
	text_editor->set_drag_and_drop_selection_enabled(EDITOR_GET("text_editor/behavior/navigation/drag_and_drop_selection"));
	
	text_editor->set_indent_using_spaces(EDITOR_GET("text_editor/behavior/indent/type"));
	text_editor->set_indent_size(EDITOR_GET("text_editor/behavior/indent/size"));
	text_editor->set_auto_indent_enabled(EDITOR_GET("text_editor/behavior/indent/auto_indent"));
	
	text_editor->set_auto_brace_completion_enabled(EDITOR_GET("text_editor/completion/auto_brace_complete"));
	
	if (EDITOR_GET("text_editor/appearance/guidelines/show_line_length_guidelines")) {
		TypedArray<int> guideline_cols;
		guideline_cols.append(EDITOR_GET("text_editor/appearance/guidelines/line_length_guideline_hard_column"));
		if (EDITOR_GET("text_editor/appearance/guidelines/line_length_guideline_soft_column") != guideline_cols[0]) {
			guideline_cols.append(EDITOR_GET("text_editor/appearance/guidelines/line_length_guideline_soft_column"));
		}
		text_editor->set_line_length_guidelines(guideline_cols);
	} else {
		text_editor->set_line_length_guidelines(TypedArray<int>());
	}
}
void CodeTextEditor::set_find_replace_bar(FindReplaceBar *p_bar) {