Find values through index, but safe from deletion - excel

Question

I've got a input sheet that contains several different variables among which names, location and job. I want to display these values on different sheet, in which I summarize the data by group. So the input is as follows
A B C
1 NAME CIYY WORK
2 Bart NY Plumber
3 Emily NY Firefighter
4 Daniel LA Firefighter
5 Cohen NY Firefighter
6 Sasha LA Plumber
7 Dirk LA Plumber
8 Molly LA Plumber
Now I want to find the names from plumbers in LA, meaning it needs to look like this: (no #NA and no empty cells in between)
A
1 NAME
2 Sasha
3 Dirk
4 Molly
Should be easy with Indexing, Matching etc. However, the input is changed by simply deleting rows and adding rows. How can I achieve this without the risk of #REF errors. When Dirk would be deleted for instance, the output should look as follows:
A
1 NAME
2 Sasha
4 Molly
The solution on this page comes pretty close but leaves me with a #NA when the conditions are not met.
Although the values will be unique, I have a feeling that this solution for extracting unique values will be helpfull, but have been unable to combine them.

Answer 1

You need a two column match using INDEX and AGGREGATE.
=INDEX(A:A, AGGREGATE(15, 6, ROW(A$1:INDEX(A:A, MATCH("zzz", A:A)))/((B$1:INDEX(B:B, MATCH("zzz", A:A))=G$2)*(C$1:INDEX(C:C, MATCH("zzz", A:A))=H$2)), ROW(1:1)))
Fill down for successive matches. Use an IFERROR wrapper if you do not want error codes once you have run out of matches.

Answer 2

Try something like this, giving the whole range, cells and columns:
=INDEX(1:1048576,MATCH("Bart",A:A,0),MATCH("NY",2:2,0))
Thus, you can delete from A:A and from 2:2, the ranges would stay untouched.

Answer 3

I found a way to solve this issue by using INDRECT. I do not like this function however and would still advise to use the solution proposed by Jeeped.
The solution requires three steps.
Add an extra column with the two strings combined: i.e. D2 = B2&C2, and store the row of the first occurence of LAPlumber with =MATCH($M$17;D:D;0)
Now, iteratively, find the row of the next occurence of LAPlumber with: =IFERROR(MATCH($M$17;INDIRECT("$D$"&SUM($N$17:$N17;1)&":$D$16";TRUE);0);""). This function uses the previous row-numbers to redefine the array with INDIRECT. Note, the results of these values are relative to the previous row.
For each row, find the corresponding name: =INDEX($A$1:$C$15;SUM($N$17:N18);O$16). The sum function is used to combine the relative row-numbers.
In the picture I added a screenshot of step 3. Cell H3 contains step 1. The other cells in column H show the row numbers from step 2.