From supporting source material the answer is hydrogen given the various mecha use Fuel Cells. But what state is that hydrogen stored in? Compressed Gas, Cyrogenic Liquid/Slush, Liquid Metallic Hydrogen (SLMH), compound (methane, amonia, etc)?
Using the following Data from Source Materials (as listed on Gears Online website):
-VR-052 has a 98HP engine for 30minutes in Armor Mode or 103.6minutes in Bike Mode (assuming maximum distance, 380km at maximum speed of 220kph) on 1 HBT Cell
-VR-038 has a 83HP engine for 20minutes in Armor Mode or 90minutes in Bike Mode (assuming maximum distance, 300km at maximum speed of 200kph) on 1 HBT Cell
-VR-041 has a 88HP engine for 22minutes in Armor Mode or 90minutes in Bike Mode (assuming maximum distance, 300km at maximum speed of 200kph) on 1 HBT Cell
-HBT Cell in Mospeada lineart can be measured to have a volume of 4.0225L (for simplicity lets call it 4L even, though not all of this is technically available), researching the MPC Cyclone/Mospeada product that has a removable HBT/PC canister shows it to go all the way through the cavity (which is what I assume here, I don't have the MPC with this feature). NOTE: 4 Liters is idealized volume, the canister itself might be physically smaller or hold less depending on material thickness.
And one link on real world fuel cell consumption rate for a given output (https://fuelcellstore.com/fuel-cell-facts#faq19, after doing some unit conversion it works out to 1.33x10^-5kg/L per shp). I am going to assume this applies to the GCM mecha along with Horsepower unit is taken to be Metric Horsepower not imperial horsepower (all other measurements are in metric which makes me think this is the case). I am also assuming the Oxygen Supply is stored independently of the HBT Cell (you need 8x the mass of each unit of hydrogen) due to the practical realities of storage (see Spoiler #1) and results later.
Spoiler:
Based on extrapolated data from source material and the link on fuel cell consumption rate the canister holds the listed amount of hydrogen needed, density is also calculated assuming a 4L canister:
-VR-052: Bike (8.13kg, 2.033kg/L) Armor (2.35kg, 0.589kg/L)
-VR-038: Bike (5.98kg, 1.495kg/L) Armor (1.33kg, 0.332kg/L)
-VR-041: Bike (6.34kg, 1.586kg/L) Armor (1.55kg, 0.388kg/L)
The numbers are not consistent, but we can safely ignore the Bike Mode numbers as it would not be using full power to maintain maximum speed. The variance in Armor mode given the uniform tank size means the units are not as fuel efficient. This means we use the data from the VR-052 in Armor mode to establish a minimum amount of hydrogen in the canister that would apply to all mecha. It is possible the website is in error, the only confirmation I could find elsewhere is for the VR-38, so I will be listing that one as well.
Hydrogen Density and Phases:
-Cryogenic Liquid Hydrogen: 0.071kg/L
-Cryogenic Slush Hydrogen: 0.085kg/L
-Cryogenic Liquid Methane: 0.424kg/L (~42.62% of the mass is hydrogen)
-Liquid Ammonia: 0.6826kg/L (~48.48% of the mass is hydrogen)
-Liquid Metallic Hydrogen: 0.850kg/L (note the exact density is not known, the value might be slightly higher)
The only real viable candidate on the list is Liquid Metallic Hydrogen (the 4L canister could hold 3.4kg of the stuff). There is of course margin to account for the thickness of the container. Methane and Ammonia appear to be close contenders, but they require an extra step to extract the hydrogen AND not all of the mass is H2. Other hydrogen rich substances also exist, but will run into the same issues as the Methane and Ammonia.
Based on the VR-052 HBT Canister's implied mass and it does not waste any fuel (compared to the VR-052) then at maximum power the Legois-H/I's JG-97M engines have an operating time of 12.78minutes (Legois-Z is 11.47minutes), and assuming a Palladium RPG Cell Count for the Tlead's RT counterpart the Tlead would operate for 23.06minutes.
If the VR-038 is used in its place times the above changes to 7.22min (H/I), 6.48min (Z), 13.02min (Tlead).
If you want to see how the space stats stack up...
Spoiler: