Personally, the question, from the perspective of proper process of electrical design and production is a little strange IME.
If you are doing the production yourself, really try to understand the process yields at each step before committing to additional experiments, because your proposed action may not save you parts. If you are needing more than 5-10 additional copies of a component to dial in the process, or using more than 1 panel worth of solder sample (non-EC) PCB, then you are burning PCB's and/or parts unnecessarily. Then, in this reduced efficiency situation, even if you do a pre run of "non-functional parts" , you will need to rereel those locations and assuming you are hand to mouth on a given part, you will still effectively lose (not be able to use , ) the first few pieces anyway due to the tape leader. Overall the situation is unpleasant but there is not much benefit in the 10-100 quantity to change the basic process and introduce this additional step. Of course, maybe the situation is unique or there are other constraints/issues that you are not sharing.
Assuming there is no other way to manage the situation @CL.'s answer is spot on, in this kind of corner case, over-optimized, external and ephemeral constraint caused by the economic situation i.e. emergency situation, there is no SOP. A little manual searching is the solution if the tools are not cooperating. Burning through 10 hours of digikey searches and making a spreadsheet to get an answer is a small price to pay if your critical component is out of stock globally, its just part of the job.
a few additional points
"Tuning Pick-n-place Process" - generally unfamiliar with this as a standard step for production flow, pick-n-place machines do need to be calibrated and in good order. However, I would think, even if the production line is in house, this is the job of the production lead, and shouldn't require your fancy assemblies to do it.
"Tuning in the solder process" from stencil to reflow is important if I want to transfer the process to other producers down the road, or if there are problems with yield or early failures. For example, improper stencil aperture or placement induced cracking. But if I am doing only 100 pieces, there isn't enough volume to do the study.