hello Startroop!
The fact is that my grand father fought this campaign as an artillery reserve officer with the 63rd Rgt "d'artillerie d'Afrique".
To understand the clothing of the french at that moment, the story of my grand father is significative. Ordrs had been issued in secret for the mobilisation of the regiments of the "armée d'armistice". Many modern weapons including field guns, AA and AT guns,MMG and armoured cars had been hidden and sustracted to the axis commissions.
Most were kept by farmers far form the barracks.
The process to gather the men and the weapons was incerdibly fast ans successfull, beside of the fact that my grand father reached his unit in Sfax without any uniform and began the campaign in hunting suit with only an helmet
The army of north Africa was for its majority, dressed just like their counterpart in France for what does concern the winter uniforms (but remenber that the tunisian campaign was fought in winter, and the french mainly engaged in the mountains where the climlate was rather cold)with some tropical uniforms worn by the elements garrisoning "le grand sud" (desert units). Basically, same cut but made of cotton rather than wool without "capotes" but the typical french sack coat instead.
Some units joining the battle along with the british army coming from Egypt, especially the 1st free french Div which fought in Bir Hakeim, had been issued with british tropical uniforms earlier and, in Algeria, the first american equipments (weapons and uniforms)were delivered at the same moment
Let's also say that the french army of Africa, like the british army in India, displayed the most colourfull and original colonial corps you can wonder, and variations in clothing due to traditions were almost the rule.
Go with Jouineau, it is a good base to start with.
Cheers.