What position are the breast beam uprights in when you have tensioned the warp to your liking? They should be completely vertical, not leaning in or out but be straight up and down. Then when you open a shed the breast beam should move slightly inward towards the castle of the loom, creating a gentle angle to the uprights.
When there is no warp on the loom, the longer cords that attach at the very bottom of the breast beam uprights should be loose, with slack in them, as should the short cords that prevent the beam from moving too far. The uprights should naturally level themselves to a vertical position.
Basically, you want your uprights to be completely vertical, except when you have just opened a shed. And the only time you need to adjust your texsolv cords is when you first get and set up the loom. So I’m not sure what is going on with your loom. When I loopk at mine, I have two or three empty holes in the texsolv past the screw attachment to the end of the cord, and have never needed further adjustment. How many empty holes are on yours past the screw, to the end of the cord?