Remove the "Google" from Gboard space bar

I don't think removing 'Google' from spacebar is possible. For the top bar, this is the new design where tapping the white arrow gives you a list of options, one of which is 'Search'. You can tap the 3 dots at the end of the row of icons, and change what icons are shown in that row. To do this, long press the icons, and drop them on the row, after you tap on the 3 dots.

You can send feedback via Gboard settings to let the relevant development team know your views on this.