Possible 2 step synthesis of phenylpiracetam using OTC reagents

Hey there, I'm currently pursuing a professional chemistry career which I imagine prevents me from trying this synthesis myself because of the new blanket banning of all psychotropic substances in the UK, still I find it fun to create theoretical syntheses for compounds,

Step 1:
Catalytic HCl
1 eq styrene (easily available through thermolysis of polystyrene)
1 eq glycine amide (dehydration of glycine with ammonia)
1/3 eq TCICA (available as a pool cleaner)
In DCM at low temperature ~0 degrees celcious

Step 2:
Ketene bubbled through solution (thermolysis of acetone in a ketene lamp)

TCICA reacts with an initial catalytic amount of HCl to generate chlorine, chlorine adds to double bond in styrene, low temperatures favours the addition of 1,2-dihaloalkanes to an amine forming the aziridine, the solution of TCICA can be separate to the main reaction with a recycled gas flow through the 2 flasks as HCl is not soluble in DCM, if there is a worry of side reactions,

the ketene part is the iffy bit, the Lewis acid was added as a hunch from other similar reactions I've read about, the aim is to weakly activate the aziridine to form the appropriate zwitter ion, and hopefully the oxygen of the ketene will coordinate, allowing the alkene and the zwitter ion undergo cycloaddition, (I worry about the C=O bond reacting instead from the strong dipole), I imagine different Lewis acids will give different yields by the balancing of these properties,

I know ketene is 10 times more toxic than cyanide compatible to phosgene, but it is readily available from acetone, i would be interested in other people's view on its viability, and strongly recommend nobody tries it as aziridines, HCl, Cl2, ketene are all very dangerous and can be fatal on their own, plus the legal issues in some countries, just theoretical discussion please