You have made this comment repeatedly, but not given any evidence to back it. There is nothing unbuildable about it, what there isn't so far is a design which meets all the criteria including the budget. That's a very different problem
Budgets that balloon at every review point do not give confidence that the design is actually workable.
It's all very well comparing the claimed budget of that design to the claimed budget of this one, but those figures do not necessarily bear any real relation to the actual turnout cost at the end of the project.
There can be little confidence that the revised budget for the first or second design at the time they were cancelled was in any way reflective of the actual completion budget - which is likely to have been a major factor in their cancellation.
It's very easy to try and claim that the engineers are being undermined by politicians, but the reality is there have been many infrastructure projects where the engineers botched them without significant additional meddling from the politicians.
Berlin Brandenberg Airport or the Sellafield MOX plant come to mind as examples.
EDIT:
The second design, for example, managed to grow in cost by 30+% in short order. From £3.6bn originally to £4.8bn at the time it was axed.
EDIT #2:
And the second design actually decreased in apparent budget after it was first proposed, reaching a low of only £3.3bn in April 2021.
It then skyrocketed to £4.8bn in 23 months, incidentally after serious design work started.