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You can literally carry as much as you want
Activating the infinite weight glitch is easy and only requires the minimal resources needed to craft and modify a piece of light armor and access to an Armor Workbench.
The steps are as follows:
Use an Armor Workbench to craft any piece of Light Armor
Modify the Light Armor piece with the Pocked Mod
Equip the Pocketed Light Armor piece
Quickly and continuously unequip and reequip the Pocketed Light Armor piece
As you continue to put on and remove the armor piece over and over, you will note that your maximum carry weight is decreasing.
Keep repeating the process until your maximum carry weight displays as a negative number. You now have infinite carry weight and will not be over-encumbered as long as the glitch is active.
This glitch will deactivate upon logging out of Fallout 76. This means that you can return your character to normal just by leaving a server, but it also requires that you repeat this process every time you want infinite carry weight.