You have to understand that the compact camera market is effectively dead, killed by smartphones. None of the manufacturers has released a new bridge camera since 2019. Sony still sells one very expensive bridge camera; Panasonic has three, somewhat cheaper, and Nikon has two. All of them will probably disappear at the end of this year when EU legislation comes in, requiring USB-C charging sockets.
One of the Panasonics is probably the only option if buying new - the FZ330 has a lens that's 600 mm FF-equivalent and is comfortably under budget.
After that a used Panasonic FZ1000 would be a good option - lens only goes to 400mm equivalent but it has a much larger sensor then the FZ330.
If you're very lucky you might find a used FZ2000 within budget - almost identical to the FZ1000 but lens goes to 480mm.
I haven't recommended one of the Nikons s/h as their lenses are too long for a beginner and the results are likely to be disappointing.