Student daughter lost only key for 2003 Yaris. Best fix?

[Tferrari]

My daughter who is studying at uni, got her first ever car last week and has been on cloud nine since. No more spending hours a day walking to and from her destination. She was only given 1 key and had not had the sensible thought of getting a spare cut.

She parked at her evening job last night and lost her only key. Plenty of searching and crying since, no luck

Can anyone here suggest best/most cost effectivesolution please? Are these smart keys or just blades that need cutting. I know they have remote fobs, are they just for locks or also immobilizer.

She is in the UK, I have tools that would program the remote but am in the USA.

Not sure if is is a smart key or too old. Also are we able to get key code pattern from dealer by showing them log book, then get blade cut at locksmith

Shei is bei g quoted hundreds of pou ds to solve and is distraught.

Any and all advice appreciated. Thanks