Well, the Huit appears to have ~42 tons of pod space in CBT. Though I doubt it matches the ICE engine and only 5.5 tons of armor of the CBT version. I suspect it upgrades to a larger fusion engine for about the same weight which also gives it some free heat sinks. Additional tonnage saved from the heat sinks is probably added into the armor. So, we can assume it probably still has ~42 tons of weapons.
4 CLPLs = 24 tons, leaving 18 tons of heat sinks. Since you cannot mount double heat sinks on vehicles that means it is sitting at 28 heat dissipation versus 40 heat build up. Yes, it will overheat quick.
Now, 2 CLB10X weigh 20 tons, 4 CLB5X weigh 28 tons, and 2 CUAC/2s weight 10 tons. This puts it slightly overweight by 16 tons, and without any extra ammunition.
1 CLB20X weighs 12 tons, 2 CLB10X weigh 20 tons, and 2 CLB5X weigh 14 tons. That puts it at 46 tons, 4 tons overweight about, and without extra ammunition.
You could theoretically do 2 CLPL at 12 tons, 2 CLB10X at 20 tons, and 2 CUAC/2s at 10 tons for 42 tons total with no extra ammunition.
