Do you think this build can work ?
As I previously mentionned, i want a double crankset + manual shifters rather than electronic (budget build)
i'm pretty sure of everything, but i don't understand why all the crankset are specified "BB wide 68/70mm", but the velobuild need a 86.5mm 
Frame Velobuild TT023 950,00 €
Personal paint 60,00 €
Sending 90,00 €
Wheels superteam 60/88mm 455,00 €
TPU 25,00 €
Tyre continental GP5000 83,00 €
Front brake - Trivia 75,00 €
Rear brake - Trivia 65,00 €
Brake plate 10,00 €
Needle HFA309 5,00 €
Olive HFA505 4,00 €
Connector HFA403 8,00 €
Disc Shimano 20,00 €
Rear derailleur - shimano 105 R7000 50,00 €
Front derailleur - shimano 105 R7000 32,00 €
Shifters bar end dura ace 2x11 90,00 €
Cransket 52/36 - shimano RS510 110,00 €
BB ZTTO T47 50,00 €
Chain shimano 20,00 €
Cassette sunrace 11-36 50,00 €
2 252,00 €
I can't recommend a mechanical gear shift in this frame.
The bends are much too extreme. I had to heat the brake line slightly, especially on the handlebars and stem, so that it could be bent.
I can't imagine that the shifting performance won't suffer as a result.
Besides, you won't have any gears on the basebar, which can be a real disadvantage depending on the route.
You're riding with a double front, so you want small gear jumps. Are you also prepared to stop shifting on climbs because you're reaching for the base bar?
A used AXs rear derailleur costs €80-100. The front derailleur costs €60-80. Wireless blips cost €75 per pair. That's well within your budget.
Oh, I forgot the batteries: €25-40 each.