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Actually, you don't even need the reflector. Regulation 4(3)(a) of the Road Vehicle (Lighting)
Regulations 1989 -'Nothing in these Regulations shall require any lamp or reflector to be fitted between sunrise and sunset to–
(a) a vehicle not fitted with any front or rear position lamp,'
All you need to do is tape over the lights - regulation 4(4) -
'Without prejudice to regulation 16, for the purposes of these Regulations a lamp shall not be treated as being a lamp if it is–
(a)so painted over or masked that it is not capable of being immediately used or readily put to use; or
(b)an electric lamp which is not provided with any system of wiring by means of which that lamp is, or can readily be, connected with a source of electricity.'
You'll be especially thrilled to learn that as long as you have a rear reflector and it's daylight there's no legal requirement for lights. Even a brake light.