### 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
PackedInt32Array bmarks = text_editor->get_bookmarked_lines();
	if (bmarks.size() <= 0) {
		return;
	}
	int current_line = text_editor->get_caret_line();
	int bmark_idx = 0;
	if (current_line < (int)bmarks[bmarks.size() - 1]) {
		while (bmark_idx < bmarks.size() && bmarks[bmark_idx] <= current_line) {
			bmark_idx++;
		}
	}
	goto_line_centered(bmarks[bmark_idx]);
}
void CodeTextEditor::goto_prev_bookmark() {
	PackedInt32Array bmarks = text_editor->get_bookmarked_lines();
	if (bmarks.size() <= 0) {
		return;
	}
	int current_line = text_editor->get_caret_line();
	int bmark_idx = bmarks.size() - 1;
	if (current_line > (int)bmarks[0]) {
		while (bmark_idx >= 0 && bmarks[bmark_idx] >= current_line) {
			bmark_idx--;
		}
	}
	goto_line_centered(bmarks[bmark_idx]);
}
void CodeTextEditor::remove_all_bookmarks() {