### 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(p_line, "");
	if (p_line == 0 && text_editor->get_line_count() > 1) {
		text_editor->set_caret_line(1, p_caret == 0, true, 0, p_caret);
		text_editor->set_caret_column(0, p_caret == 0, p_caret);
	}
	text_editor->backspace(p_caret);
	if (p_line < text_editor->get_line_count()) {
		text_editor->unfold_line(p_line);
	}
	text_editor->set_caret_line(p_line, p_caret == 0, true, 0, p_caret);
}
void CodeTextEditor::delete_lines() {