### 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(begin, line_text);
			text_editor->set_caret_column(col, c == 0, c);
		}
	}
	text_editor->merge_overlapping_carets();
	text_editor->end_complex_operation();
	text_editor->queue_redraw();
}
void CodeTextEditor::goto_line(int p_line) {
	text_editor->remove_secondary_carets();
	text_editor->deselect();
	text_editor->unfold_line(p_line);
	text_editor->call_deferred(SNAME("set_caret_line"), p_line);
}
void CodeTextEditor::goto_line_selection(int p_line, int p_begin, int p_end) {
	text_editor->remove_secondary_carets();
	text_editor->unfold_line(p_line);
	text_editor->call_deferred(SNAME("set_caret_line"), p_line);
	text_editor->call_deferred(SNAME("set_caret_column"), p_begin);
	text_editor->select(p_line, p_begin, p_line, p_end);
}
void CodeTextEditor::goto_line_centered(int p_line) {
	goto_line(p_line);
	text_editor->call_deferred(SNAME("center_viewport_to_caret"));
}
void CodeTextEditor::set_executing_line(int p_line) {
	text_editor->set_line_as_executing(p_line, true);
}
void CodeTextEditor::clear_executing_line() {