Can't Auto Populate Cells in One Sheet from Data Cells in Other Sheets with 3 Conditions

I would like to auto populate blank cells in one sheet (ARU Master Grid) from the data I have entered in cells in several other sheets (Physical Therapy Schedule, etc. ) based 3 conditions: 1. the name of the patient, 2. the type of therapy (Physical, Occupational or Speech Therapy) and 3. the time/duration of the therapy. See attachments below. There are 5 different therapy types (for this example, I only included 3: PT, OT, ST) but only one ARU Patient Grid. I am a little familiar with Excel but have never used macros and know only a little about conditional functions. I have figured out how to add the number of units of each type of therapy by patient using a COUNT function so that's done. I am new at this. I have tried various formulas but all I have been able to do is to copy the exact entry rather than the type of therapy using the = function which is not what I want. Thank you for any help or would appreciate it if you can point me in the right direction.

ARU Master Grid.jpg ARU Master Grid
ARU Master Grid.jpg Physical Therapy Schedule
ARU Master Grid.jpg Occupational Therapy Schedule
ARU Master Grid.jpg Speech Therapy Schedule