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Do I need a road legal (front brake fixed) bike to do cycle training or can I fixie skid?
(Not an instructor...)
You won't be able to practice emergency stops without a front brake (and it's interesting to practice them no matter how confident/experienced you think you are). Otherwise I can't see what difference it will make to what you'll learn about observation, road positioning, etc.
The individual instructor's reaction may verge from anything from a shoulder shrug, through tutting to, albeit highly unlikely, refusal.
Do I need a road legal (front brake fixed) bike to do cycle training or can I fixie skid?