I was also completely unable to get physical clicks to register, whether pressing middle, left, right, etc. However, I was able to partially fix it:
Hi Support Team -
The no physical click issue was observed on both BIOS 3.09 and BIOS 3.10.
No change in behavior with PS/2 Emulation on versus off.
I did follow the touchpad rubbing guide here: Touchpad Rubbing Fix Guide - Framework Guides
At step 5, instead of adjusting the touchpad toward the keyboard, I simply tightened the two screws holding the bracket. Each was able to move about 5/6 of a turn towards tighter. This created some improvement, where I could physically click at the very middle of the clickpad only, with about an 80% recognition rate.
So I went back into the input cover, and looked more carefully at this bracket. I noted the following defects: the right hand alignment post appears to be poorly formed compared to the left hand one. The lefthand one is a crisp, sharp cross shape. The bracket goes easily over the lefthand alignment post, but fits poorly over the righthand one. The right hand one tries to force the bracket to be too close to the keyboard, and not well vertically captured to the clickpad itself. By very carefully holding the bracket both down and away from the keyboard, I was able to get the right hand side of the bracket much more vertically captured. In this configuration, I could physically click the middle 2/3rds of the clickpad with about 90% capture rate, but only about 10% of the time would physical clicks outside of this area be registered.
Third attempt, I bent forward the two small tabs on the bracket, as I had seen suggested by Framework Community members, but dis-recommended by Framework staff. However, bending these tabs up meant that physical clicks are now registered all the way out to the touchpad edges, but with a huge amount of slop/play still. Click register is rate is nearly 100% in the middle, and maybe 60% beyond 2/3rds from the middle.
Asking support to sent a replacement input cover due to the mis-manufactured alignment post. We will see what they say.