Drawings are produced in different stages.
The ‘basic’ drawings are essentially the concept stage, where you and your architect basically define in broad terms the volumes you want to achieve. All the detail is left out at that stage.
Then you need planning permission drawings. These may be a bit more specific, but again they are very generic. Planning doesn’t care whether you want hardwood floors or vinyl tiles, or that you have expensive taste or want coving or fancy led lighting. They only care about the exterior look of the extension.
Once you’ve got PP sorted, you will then have a whole new set of drawings produced. Since you are adding multiple rooms on multiple floors, this could need a significant number of drawings. These would include exterior, interior, small power, wall types, plumbing, elevations, ceiling types, flooring types, general arrangements etc.
It is that set of drawings that builders will need to quote on your project. To give you an idea, I’m currently doing a biggish extension, and the architects produced more than 80 drawings that were part of the call for tender.
Architects are rubbish at estimating the cost of a build. I suspect this is tactical - they want you to become fully invested in your project, so that you will go ahead anyway, when you find out what the real costs are going to be.
Where are you located, and how many square metres are you planning to add? Mners may be able to help with a ballpark. Due to supply chain issues, everything is very expensive atm.
If you don’t want all the uncertainty, your best bet is a design and build firm. They should be able to price upfront. But they tend to do always the same thing (ie same dormers, same size back extension) on all their projects. If you want something that is more bespoke, you will need an architect.