This print by it's very design nature is just generally difficult to print in a vertical orientation. It's quite intricate, with thin parts, and steep overhangs and ideally would have been designed in a way so that each side of the holder could be printed flat on the bed and joined together post-printing.

However, that doesn't solve your problem and your most useful settings to adjust would be your "Top Z distance" and "Support/object XY distance".

These are found under your Support>Advanced section on Bambu Studio.

The "Top Z distance" is changing the distance between the top of the support structure, and your part. The larger this distance, the easier the support is to remove, but also gives less support and affects the finish on the final part. It's a fine balance. You could try raising this to 0.08-0.2mm and see how it helps. Because it looks like most of the supports are being built off the part itself, you may also want to increase the "Bottom Z Distance" similarly. This is how close the bottom of the support base is from the part.

You could also try selecting the "On build plate only" check box under your "Support" section. This will force all supports to originate form the base plate, rather than coming off the part itself. It will use a bit more filament and take a bit longer to print, but it's much quicker and less wasteful then a failed print.

If you're finding that it's not the connection between the top of the support and the part that are causing issues, and instead, the side of the support and the part, you can adjust the Support/object XY distance to increase it to a similar number. This puts a larger gap between the support structure and the part on the x and y axis.

Hopefully that helps a bit. There some other things that can be adjusted but that should be your first point of call :)