### 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
bool trimed_whitespace = false;
	for (int i = 0; i < text_editor->get_line_count(); i++) {
		String line = text_editor->get_line(i);
		if (line.ends_with(" ") || line.ends_with("\t")) {
			if (!trimed_whitespace) {
				text_editor->begin_complex_operation();
				trimed_whitespace = true;
			}
			int end = 0;
			for (int j = line.length() - 1; j > -1; j--) {
				if (line[j] != ' ' && line[j] != '\t') {
					end = j + 1;
					break;
				}
			}
			text_editor->set_line(i, line.substr(0, end));
		}
	}
	if (trimed_whitespace) {
		text_editor->merge_overlapping_carets();
		text_editor->end_complex_operation();
		text_editor->queue_redraw();
	}
}
void CodeTextEditor::insert_final_newline() {