Further comment.
If you put your pipe work in the patio now, you will have to spec the slab to be conservatory-suitable and insulated, as you will not be able to add anything under the pipe work later.
That may limit your conservatory options - dwarf walls need nearly normal foundations etc, and digging those round an existing floor is fiddly though possible. A slightly thicker slab and full height panels may be preferable.
That may all be doable if you plan ahead, but think through the whole process and do a full cost model as if you were building the conservatory now.
Further options could be a full sun lounge with a real roof, or a Crocodile style enclosed veranda with sliding glass wall(s) and a patio heater setup when needed, but there are imho better suppliers out there. You want to pay for your your house not other people's TV adverts.
Perhaps the thing to focus on is your intended use ... Full room implies sun lounge or good spec conservatory, dog pod or plant winter space implies something cooler that could be less heavily protected and outside the thermal envelope.
If you want 4 season use and it gets sun then you something radical in the roof to protect it in summer, or you may roast your occupants.
Ferdinand