This isn’t really a highly direct solution, but you could try increasing the screen zoom of the whole device by a notch or two. Somewhere in Settings > Display > Font Size/Screen Zoom or something like that may size up the UI enough that it’s comfortable for you. I think you can mix and match font sizes and screen zooms, so you can keep text from getting too big but size up the UI buttons. This will naturally affect all android UI, not just the music widget, but maybe that’s okay in your situation?
They could’ve so easily solved this by making it just immediately jump to the search bar on tap, or hide that feature behind a long press like some other apps do if they’re really wanting to push people towards trending searches. I appreciate that it’s within thumb’s reach now but this is a pretty lackluster implementation