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Using multiple conditions in awk

I want to extract information from a large file based on several conditions (from the same file), as well as to search for patterns from another small file. Below is the script I used:

awk 'BEGIN{FS=OFS="\t"}NR==FNR{a[$0]++;next}$1 in a {print $2,$4,$5}' file2.txt file1.txt >output.txt

Now I want to use the condition in the same awk script, which ONLY prints a line in which the element of the 4th column (any character from ATGC) corresponds to the element of the fifth column (any character among ATGC); both columns are in file 1.

Therefore, in a sense, I want to combine the following script with the above script:

awk '$4 " "==$5{print $2,$4,$5}' file1.txt

The following is a representation of file1.txt:

SNP Name    Sample ID   GC Score    Allele1 - Forward   Allele2 - Forward
ARS-BFGL-BAC-10172  834269752   0.9374  A   G
ARS-BFGL-BAC-1020   834269752   0.9568  A   A
ARS-BFGL-BAC-10245  834269752   0.7996  C   C
ARS-BFGL-BAC-10345  834269752   0.9604  A   C
ARS-BFGL-BAC-10365  834269752   0.5296  G   G
ARS-BFGL-BAC-10591  834269752   0.4384  A   A
ARS-BFGL-BAC-10793  834269752   0.9549  C   C
ARS-BFGL-BAC-10867  834269752   0.9400  G   G
ARS-BFGL-BAC-10951  834269752   0.5453  T   T


enter code here

Below is a view of file2.txt

    ARS-BFGL-BAC-10172
    ARS-BFGL-BAC-1020
    ARS-BFGL-BAC-10245
    ARS-BFGL-BAC-10345
    ARS-BFGL-BAC-10365
    ARS-BFGL-BAC-10591
    ARS-BFGL-BAC-10793
    ARS-BFGL-BAC-10867
    ARS-BFGL-BAC-10951

The conclusion should be:

834269752   A   A
834269752   C   C
834269752   G   G
834269752   A   A
834269752   C   C
834269752   G   G
834269752   T   T
+4
1

, , "" , :

awk 'BEGIN{OFS="\t"}
     NR==FNR{a[$0]++;next}
     ($1 in a) && ($4==$5) {print $2,$4,$5}' file2.txt file1.txt > output.txt

, file2.txt:

ARS-BFGL-BAC-1020
ARS-BFGL-BAC-10172

:

834269752   A   A
+1

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