I would recommend checking out Fender electric guitars: https://www.riffsandlicks.com.au/guitars/electric/fender/

The Fender Champion 20 is a popular choice that falls within your budget and offers a range of tones suitable for clean blues and jazz playing. It's compact but powerful enough to give you the quality sound you need.

At this stage, a tuner pedal might be a good addition, so you can easily keep your guitar in tune while practicing. Also, a good set of headphones can be handy, especially if you’re practicing late at night or want to keep the noise down.

Hope this helps, have fun!