@allysmiles3 Most people gain fat when they gain muscle. I'm suggesting that it's hard for most people, and likely impossible for you, to get stronger while staying thin. It hasn't worked for you to gain
some fat and
some muscle. So, try going all in.
If you want to set an arbitrary weight to stop and check in because you feel you need to, I think that's fine. If you hit 225 while being as consistent with training as you're reporting, I suggest that you will be stronger.
Strength standards don't really apply to your situation because you are not competing, nor are you comparing yourself to others. The question is very simple here: you are hypothesizing that it is impossible for you to both gain muscle and to get stronger. The control here is you, right now at 150 lbs. The variable would be you, six months from now, at 200 pounds (or 225 or whatever).
Height is irrelevant to strength standards in general, even if we were looking at them. If you're curious about what is considered a "good lift" at a particular bodyweight, you can check out strengthlevel.com. for what it's worth, your proposed 187 bench press at 150 bodyweight would put you in the intermediate class. If it is in fact 160, you would be in the novice class.
ETA: I looked at the form check videos you posted a year back. There is no perceptible bracing in any of them. Has your bracing improved? Watch this:
https://youtube.com/playlist?list=PL92BxTOBNaZB9df3ckfE9uTmH5io3lLs0&si=tFo-s_BS9EzrczaY