This is my template for this part, but it doesn't seem to work.
(('^[\u10D0-\u10F0]+$')||('^[a-zA-Z]+$'))&&!(('^[\u10D0-\u10F0]+$')&&('^[a-zA-Z]+$'))
Also, it shouldn't contain any other characters or numbers, just Georgian or Latin.
This is my template for this part, but it doesn't seem to work.
(('^[\u10D0-\u10F0]+$')||('^[a-zA-Z]+$'))&&!(('^[\u10D0-\u10F0]+$')&&('^[a-zA-Z]+$'))
Also, it shouldn't contain any other characters or numbers, just Georgian or Latin.
You can use
Validators.pattern(/^([a-zA-Z]+|[\u10D0-\u10F0]+)$/)
Validators.pattern('([a-zA-Z]+|[\\u10D0-\\u10F0]+)')
In the second line of code, as the regex is set with a string literal, ^ and $ are added by Angular automatically.
Details:
^ - start of string([a-zA-Z]+|[\u10D0-\u10F0]+) - Group 1 matching either one or more ASCII letters or one or more chars matched with \u10D0-\u10F0 range (Gergian letters from ა to ჰ)$ - end of string.