### 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
if (!needs_to_count_results && (result_line != -1) && results_count_to_current > 0) {
		results_count_to_current += (flags & TextEdit::SEARCH_BACKWARDS) ? -1 : 1;
		if (results_count_to_current > results_count) {
			results_count_to_current = results_count_to_current - results_count;
		} else if (results_count_to_current <= 0) {
			results_count_to_current = results_count;
		}
		return;
	}
	String searched = get_search_text();
	if (searched.is_empty()) {
		return;
	}
	needs_to_count_results = false;
	results_count = 0;
	for (int i = 0; i < text_editor->get_line_count(); i++) {
		String line_text = text_editor->get_line(i);