Growing shares of variable renewables raise short-term price volatility and the value of assets able to revise their schedules close to delivery. This paper studies how a multi-unit pumped-storage plant hybridized with floating photovoltaics and battery storage should coordinate its participation across the day-ahead and intraday markets. A two-stage framework commits hourly schedules using a tractable head-dependent model of two coupled reservoirs, then re-dispatches at quarter-hourly resolution in a rolling horizon, holding the committed position by a two-sided settlement of the deviation and a penalty on departing from the planned water trajectory. In a 341-day case study of the Alqueva plant in Portugal, intraday participation raises profit by 8.2% without re-deciding the unit commitment. Valuing each resource directly shows the photovoltaic--hydro synergy to be almost entirely intraday, where the energy routed to the pumps grows thirteenfold over the day-ahead schedule, and the array captures 33% more per unit sold. Hybridization should therefore be evaluated across market stages.