Counting Unique Cell Values While Excluding Errors And 0s

I am attempting to count how many cells have different values in a table while not counting the N/A's and 0's found in the table. From what I'm finding online, I see lots of formulas set up with frequency functions, but none of them are set up to exclude anything - just find unique values. I need to count the cells with values other than 0 and N/A going across each row and not count the same value twice

Here's an example of what the table looks like (the real one is over 1,000 rows and 50 columns) with column C being where the formula needs to go. I put what I would like to have returned in the cells.

C
D
E
F
G
H

5
2
N/A
N/A
0
43263526AF
324GFDS

[Code] ........