greets people,  here it is in a nutshell

I have a btc core wallet 64x and it needs updating via warning msg as its from 2015.
wallet is 137 weeks behind sync with chain,  HERES THE ISSUE:
the machine my wallet is on is suffering a integrated into motherboard gpu chip overheat thermal shutdown issue. it is faulty and causing thermal shutdowns as it overheats before my wallet will sync the last 137 weeks.
what I want to know is how or if I can get my seg coins btc cash, gold and I think now diamond also if I move my btc off bad box and then sync the bad wallet....
while trying to sync my doge wallet thermal shutdown lost my coins while sync.

do my coins need to stay on this wallet with this key do full sync before I can get my other coins?   

if I move them to a hardware or other btc wallet will it still alot me my coin match?  it seems I need to try and pray for luck my wallet syncs before my hardware overheats due to the bad gpu...  I hope I explained clear.  I hate to even think of losing all my btc over a bad gpu...if I didn't need to get my matched new cash and gold coins it would be a non issue  how should I proceed

thanks in advance Dave