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Forte, 73 Bytes.

2LET1=6
3PUT34
7PUT34
8PUT59
1PRINT"2LET1=6
3PUT34
7PUT34
8PUT59
1PRINT";

Kinda Explained

2LET1=6             //  Line 2, Set 6 to 1. Which means what -was- line 1, now is line 6.
3PUT34              //  Line 3, Put a "
7PUT34              //  Line 7, Put a "
8PUT59              //  Line 8, Put a ;
1PRINT"2LET1=6      //  Line 1, Print the encoded half.
3PUT34              //
7PUT34              //
8PUT59              //
1PRINT";            //

Or, in order...

1. PRINT"THE ENCODED STRING"
2. SET 1 to 6.
3. PUT A "
6. PRINT"THE ENCODED STRING"
7. PUT A "
8. PUT A ;

Try it online!