If you are working interactively, just go to the red triangle and save the prediction formula to make a new (formula) column in your data table (in the case of PLS, you want 'Save Columns > Save Prediction Formula'). Then add a new row to the data table, and so long as you enter values for all the predictors you will get predicted values in the same row (via the formula you saved).
This can also be done through JSL if you want to automate things if needed.
And to supplement my colleague Ian's reply, since you are running JMP Pro version 13, you might find value in publishing the formula to the Formula Depot platform? This platform allows you to write the model into production/database oriented languages such as Python, C, and SQL. So if the 'new' data is starting out in a database let's say, you could perhaps cleverly use the scoring code to characterize your materials on the production database side. Many of my customers use the Formula Depot scoring code application for just this purpose.
And I'll just say...great application for PLS as well!