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Saved 2 bytes thanks to @Neil
f=s=>s<(s=s.replace(/\(.?([<>]{3})\).?/,(_,s)=>s[s[1]>'<'?2:0]))?f(s):s
Try it online!Try it online!
f=s=>s<(s=s.replace(/\(?([<>]{3})\)?/,(_,s)=>s[s[1]>'<'?2:0]))?f(s):s
Try it online!
f=s=>s<(s=s.replace(/.?([<>]{3}).?/,(_,s)=>s[s[1]>'<'?2:0]))?f(s):s
